Find the angle of intersection, in radians on the domain 0

Q: Suppose u and v are differentiable functions of x. Use the given values of the functions and their…

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Q: Evaluate the integral. (Use C for the constant of integration.) cos dx COS -x cos-sin()+C x

A: The given integral is .We can solve this integral by integrating by parts formula method.Integration…

Q: Let us model the number of automobile sales in a developing country as N(t) 158,000…

A: a) 22899 cars at 2010b) 122566 cars at 2020c) cars sales stabilize at 158000 cars.Explanation:

Q: Problem 2. Let f R2 R be (a) (b) f(x,y) = (xe)10 Determine the second-order Taylor formula for f…

A: Answer is given below :-Explanation:

Q: Find the number of stationary points for the graph of y=1/2x^4−2x^3−4x^2+11.

A: The objective of this question is to find the number of stationary points for the given function y =…

Q: Find the exact length of the curve √x = 1 + 6t² y = 6+4t³ for 0 <t≤4

A: Answer:   6817​−4Explanation:For any query with the solution please ask in the comment box.

Q: solve and include ristrictions for: In (In e (ext)) = 4 and 1 e X = 2

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Q: Use implicit differentiation to find y' for 5x³y² + In (xy²) = 5 and then compute y' at (1, −1).…

A: Answer ::The final answer is 1211​Explanation:sol) Hence,The final answer is1211​

Q: If possible, find the number k so that f is continuous at every point. 3x+3, x<-2 f(x)= kx+6, x≥-2

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Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: The two people will be closest after 55 minutes and 23 seconds. And since they both start at noon,…

Q: 7 63 tan (a+b); cosa for a in Quadrant III and sinẞ: for ẞ in Quadrant IV. 25 65 tan (a+B) Find the…

A: tan(α+β)=−162457​Explanation:

Q: Consider the following. y= x²+27 54 y y=x³+27 x 3 (a) Write the integral that describes the area of…

A: (a)∫−30​(x3+27)dx(b)  4243​ square units Explanation:Step 1: Step 2:

Q: Sketch the solution

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Q: 6. Sketch an even continuous function with all of the following features: • Absolute minimum at -5 •…

A: Function is even continuous  function.  Absolute minimal at -5 Zeroes at 4 and -4y- intercept at -23…

Q: Find the limit or indicate that it does not exist. 7 lim t→L sin 6t i+ (cos 131)+ (ta 7 tan 4 到 k…

A: To find:-

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

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Q: At the start of an observation, there are 7727.8 grams of a radioactive element present. The number…

A: The value of dt/dN at N = 25 up to 2 decimal places is:(dNdt​)N=25​=50.44Explanation:Given equation:…

Q: Part 2. Simplify the following Case 2 Rational Function to a single fraction: 2 - X g(x) = - 3 1 - X…

A: Horizontal Asymptote: y=2/-1​=−2Therefore, the equation of the horizontal asymptote is y=−2. Below…

Q: 2x+2x+3 Consider the function (a) To use a limit and find its horizontal asymptote what must be done…

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Q: b Question 4) If f(x) is a continuous function on [a, b], then √ f(x)dx = f(b) – ƒ (a) f(x)dx = } a…

A: To provide counter example for given false statements

Q: Evaluate the following integrals using partial fraction decomposition, when applicable

A: Please see the solutions.Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Find the directional derivative of f at the given point in the direction indicated by the angle 0.…

A: The required answer is 24Explanation:Step 1: Step 2: Step 3: Step 4:

Q: 29 Find the area under the curve y = from x = 1 to x = t. Evaluate the area under the curve for t =…

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Q: Find the Jacobian of the transformation. x = 5pe⁹, y = 6qeP

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Q: Use a triple integral to find the volume of the given solid. The tetrahedron enclosed by the…

A: The objective of this question is to find the volume of a tetrahedron enclosed by the coordinate…

Q: A. Compute the gradient of f. vf= i+ Note: Your answers should be expressions of x and y; e.g.…

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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: Give the function f(x)=x State what it means. Evaluate the one-sided limit: lim x₁+f(x).

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Q: Find all the values of x such that the given series would converge. n=1 (x-6)" 6n The series is…

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Q: Find all solutions of the equation in the interval [0, 2π). tan 20+2 sec0=-1 Write your answer in…

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Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: a. 40b. 0c.5​1​Explanation:a. We can evaluate the limit by direct substitution. This means we will…

Q: Given the differential equation below, find the solution using Laplace transformation. The…

A: The objective of the question is to solve the given differential equation for the current I(t) in an…

Q: Use the equations OF JF дг дх Əz ду and дх OF ду OF dz Əz Əz მz to find and дх ду ez = 6xyz II || მz…

A: ​∂x∂z​=ez−6xy6yz​∂y∂z​=e2−6xy6xz​​Explanation:Step 1:​Given an implicit function.ez=6xyzTo find: The…

Q: Find the exact value of each expression. (a) sin 75° sin 5° = 0 (b) cos 105° - cos 15° = 0

A: Formulas are used for solving this problem:-

Q: Suppose z x2 sin y, x = 3s² + 312, y = 2st. =

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Q: 9) A winch at the top of a 12-meter building pulls a pipe of the same length to a vertical position.…

A: The objective of this problem is to find the rate of change in the vertical and horizontal positions…

Q: Macmillan Learning Determine the critical numbers, if any, of the function f on the interval [1,6].…

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Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: Answers : A. fx​=6cos(2x+y)+5sin(x−y)B. fy​=3cos(2x+y)−5sin(x−y)C. fxx​=−12sin(2x+y)+5cos(x−y)D.…

Q: Use Simpson's Rule with n = 10 to approximate the area of the surface obtained by rotating the curve…

A: Given that the region is bounded by the curve The surface area of the revolution about the x-axis of…

Q: Solve the system of equations 2x4y+ z = 6 -x+y-z=-2 x - 2y = 2 by converting to a matrix equation…

A: given system of equationswhere

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: Please refer below page.If you have any doubts please feel free to ask.Explanation:Step 1: Step 2:…

Q: If [5 - -8 A = [611] 0 " then A- 1 =

A: The objective of the question is to find the value of 'A - 1' given the equation '5 - -8A = 611'.

Q: The diagram below illustrates the number of moose (red curve) and wolves (blue curve) between 1960…

A: The diagram below illustrates the number of moose (red curve) and wolves (blue curve) between 1960…

Q: 1) Calculate the derivatives using Implicit differentiation au ᎧᎢ and of (TU – V)²ln(W – UV) = 1 at…

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Q: x = −1 + cos(t), y = −2+ sin(t), 0 ≤t<2π . Sketch a graph of 5 4 3 -5-4-3-2-1 2 1 -1 -2 -3 -4 -5+ 55…

A: Orientation of the graph is Counterclockwise.Explanation:

Q: Find the derivative of the following function from first principals: Y - - 1 X

A: To find the derivative of the following function from the first principle.

Q: Parameterize x(y) = √√y+5y using y = t Ans=

A: The parameterization of x(y)  using  y = t  is  x(t)=t​+5tExplanation:Given expression is…

Q: A long solenoid with 1.50 x 10³ turns per meter and radius 2.00 cm carries an oscillating current I…

A: a)E=0.01865cos(90πt)V/mb)clockwiseExplanation:Step 1:Step 2:Step 3:

Q: Find the second partial derivatives of the function f(x, y) = x³ ³ + 2x²y. дх² = If 2. 3. 4. дудх…

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Q: Given the graph of f(x) below, choose the correct option. A. f(x) is decreasing from A to C   B.…

A: Given:a graph of function f(x) with 4 points on graph A, B, C, and D.To find:behaviour of f(x) over…