[ (sec y) (tan y (sec y)(tan y - sec y) dy

Q: Verify the identity. sin 160 4 cos³40 sin 40-4 sin³40 cos 40 Statement sin 168 Rule Pythagorean

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Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

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Q: Solve by trigonometric substitution 9 S. dx. x²√9-x² Draw the triangle with values on each side

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Q: Evaluate S 1 1 70 da exactly and show that the result is Then, find the approximate value of the…

A: To evaluate  exactly and to show that the result is . Then, to find the approximate value of the…

Q: Use Stokes' theorem to evaluate te (▼ × F) - dS where F(x, y, z) = −5yzi + 5xzj + 7(x² + y²)zk and S…

A: Given :-and S is the part of the paraboloid  that lies inside the cylinder  oriented upward.Evaluate…

Q: If z = tan (金) and x = u² + v² and y = u² – v², find the - following partial derivatives using the…

A: Formula for the total partial derivative is given as follows

Q: 11. Use the shift property to find the Laplace transform of eat sin kt. uitobing property to find…

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Q: I need help with this problem and an explanation for the solution described below (Discrete…

A: The objective of the question is to determine the truth value of the given statement: If n² + 131 is…

Q: use the ratio test to determine the convergence or divergence of the series: the sum from n = 0 to n…

A: The series     ∑n=0∞​3n+14n​   diverges.     Explanation:Detailed explanation:To determine the…

Q: Suppose that f is a function given as f(x) = x² + 2x + 3. Simplify the expression f(x + h). f(x + h)…

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Q: Fnd the length of the indicated portion of the curve. r(t)=(t cost)i+(-tsin tj+ (22) Osts The length…

A: Given that a curvehere needs to determine the length of the curvelet,  , then the length of the…

Q: Use implicit differentiation to find the slope of the tangent line to the curve ม x+6 9y 7 at the…

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Q: can you solve this question for me please

A: The objective of this question is to determine whether each of the given integrals is proper,…

Q: The function f(x) = 1/x^2+1 is concave down on which interval?  Please use step by step detailed…

A: The objective of this question is to find the interval on which the function f(x) = 1/(x^2+1) is…

Q: Evaluate the derivative of the given function at the given point. y = 2x³-3x² + x + 8; (1, 8)

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Q: Calculate the mean, median, and mode from the following data set: 1,2,3,4,5

A: The objective of this question is to calculate the mean, median, and mode of the given data set.…

Q: The tangent line to the graph y = f(x) at (-4, 7) passes by the point (-1, 13). Find the value of f…

A: The slope of a line passing through the points  is given by the formulaThe Tangent line to a…

Q: Consider the function f(x) = 1. Find the first derivative of f(x) with respect to x. 2. Determine…

A: In this query, we tackle differentiation. We focus on the function f(x) = , exploring its derivative…

Q: Given the series: 1 1 k k+3 k=6 does this series converge or diverge? diverges converges ×

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Q: See the function in the image uploaded. Answer a) a) To use a limit and find its horizontal…

A: The objective of the question is to find the horizontal asymptote of the given function y = (2x^2 +…

Q: x²+5 g(x): if = x+8 *x*-8 ; g(5) x-1 if x=-8

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Q: Find the exact length of the curve. x = et - t, y = 4et/2, 0 ≤ t≤ 3

A: the exact length of the given curve is(e3+2)Explanation:Please ask if you gets any doubtplease give…

Q: Let the function: f: R → (0, ∞), f (x) = ex+3 Show that f is one-to-one correspondence (bijective)…

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Q: Can you give me an example question or problem that meets the following criteria: 1. How to…

A: The objective of this question is to understand the process of determining the parametric equation…

Q: Instructions: Sketch the graphs of the following functions. Write neat solutions. Make sure each…

A: As per our guidelines we can answer only 3 sub parts of the given question so kindly repost the…

Q: Practice

A: The objective of this question is to identify the midline, amplitude, phase shift, and period of the…

Q: The distance s, in m, above the ground for a projectile fired vertically upward with a velocity of…

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Q: Given the equation below, find dy da - −12x+2x30y+ y² = −9

A: Given Equation is as follows General differential formula is given as

Q: Find T and N for the space curve, where t> 0. r(t)=(7 cost+7t sin t)i + (7 sin t-7t cos t) + 3k T= i…

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Q: Given f(x,y,z) = x²y³z+ye -√4-x², find the first order partial derivatives f₁, f, f

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Q: Question 6: Find the equations of the tangent and the normal line to the curve g(x) = the point…

A: As we knowThe equation of tangent line at the point with slope  is The equation of the normal line…

Q: 8. Sketch the graph of the function with por and vertical asymptote at x=1 and horizontal asymptote…

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Q: Hey can you help me with this question

A: The objective of the question is to find the values of x for which the given series converges and to…

Q: 2. Find the volume of the solid whose base is the region bounded by the circle x² + y² = 9 and whose…

A: Volume = 62.35Explanation:Explanation:

Q: Use integral tables to evaluate the integral. Sx√29x-7dx Click here to view page 1 of the Table of…

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Q: Find the value of the constant C for which the integral converges. Evaluate the integral for this…

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Q: math help

A: see explanationExplanation:Step 1: Step 2: Step 3: Step 4:

Q: ☐ ☐ 3. Find the volume of the solid formed by revolving the region bounded by the given graphs…

A: Answer Question (3) : Correct option is A Question (4) : Correct option is C  Explanation:Step 1:…

Q: Let h(x)=√(-4(t-2)² +8)dt. Where does h(x) have a relative minim

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Q: Solve for t, 0 < t < 2π 27 sin(t) cos(t) = -12 cos(t) t = Give your answers accurate to at least two…

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Q: f(x, y, z) = √x + yz, P(1, 1, 3), u = (a) Find the gradient of f. Vf(x, y, z) = < (b) Evaluate the…

A: A) "&gt;&lt;2x+yz​1​,2x+yz​z​,2x+yz​y​&gt;B) "&gt;&lt;41​,43​,41​&gt;C)2815​Explanation:

Q: A) an = 2n+1 B) an = 5n+8n 7n

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Q: Find the distance from the point (0,1,-1) to the line a(t) = (-2, 2, 4)t + (-6, - 1,5)

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Q: Use Linear Approximation to estimate Af = f(3.02) - f(3) for f(x)=sin(). (Use decimal notation. Give…

A: By using Linear approximation to estimate .

Q: Complete the parametric equations of the line through the point (-6,1,-3) and perpendicular to the…

A: Point: (-6,1,-3)Plane: 6x-2y+2z=5

Q: A company manufactures a units of one item and y units of another. The total cost in dollars, C, of…

A: We solve the given problem using the second derivative test.The Second derivative test :Let f(x) be…

Q: Find the derivative of the function. Simplify where possible.

A: The answer is showing step by step. Learn with carefully.Explanation:Step 1: Step 2: Step 3:

Q: Find the linear approximation to the equation f(x,y) = 2√ xy at the point (2,8,4), and use it to…

A: Therefore, the linear approximation to f(2.18,8.29)≈4.2525Explanation:Solution:-

Q: Use implicit differentiation to find y' for 5x4y² + In (xy²) = 5 and then compute y' at (1, 1).…

A: After implicit differentiation we have the derivative as follows:…

Q: Find the interest rate needed for an investment of $4000 to grow to an amount of $8500 in 4 years if…

A: To find the interest rate needed for an investment of $4000 to grow to anamount of $8500 in 4 years…