Find the aera under the curve y = cosx fx sec²(ax² )dx a #0 Form x = 0 to x = 7/

Q: Solve the following differential equations of -0 -(x² + y²)dx + (2xy + cos y) dy 2rud

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Q: Find the points on the cone z² = x² + y² that are closest to the point (-5,4,0)

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Q: 8. Given f(x)=x+3 and g(x)=4 – x², find g(f(x)) and f(g(x)). 9. Given f(x)=x²+4x-9 and g(x)=-4x² –…

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Q: dx x² + 10x + 30 X2

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Q: Given the geometric sequence 13 113 15 15 3,125 625 125 96 48 24 **** what is as?

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Q: Find the area bounded by the given curves, or as described. I.) Sketch the graph II.) Find the…

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Q: Q1: Solve integral the following: 1- fx.√x-8dx 2- sin 2xdx

A: 1.∫x.x-8 dx2.∫0π4sin2x dx

Q: #15.) Determine the vector, parametric Cartesian equations of each of the following planes: a)…

A: Note:- Since you asked multiple subparts then as per our policy we can solve first three subparts…

Q: What is the partial sum of terms 12 to 15 of the arithmetic sequence 88, 75, 62, 49, ...? O 198 O-45…

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Q: Consider the function f(x) = -3x²³ +3x²-3x -\ Find average rate of change on interval (-4,-1). Find…

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Q: Second order: non- homogeneous Equations with Constant Coefficients d²y dy 2. -2 +2 y = 3e* cos 2x…

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Q: Find the differential of the function. y = x2 – 8x + 3 dy: Evaluate it at the given values of x and…

A: Given query is to find the differential of the expression.

Q: 3) Let r1(t) = and_r2(t) = be two skew lines. Find the equation of the plane which lies exactly…

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Q: A 14-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

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Q: Does the geometric sequence converge or diverge? Explain. 40,-10, 2.5, -0.625,...

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Q: e Phill and Laura Dutch have a new grandchild, Brenda. They want to create a trust fund for her that…

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Q: Find the solution of the differential equation that satisfies the given initial condition. dL=kL2…

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Q: -3 √₁² 1 ex+2 dx

A: We have to find given Integral.

Q: Evaluate (+2)(3-2) dr Use C to denote an unknown constant Answer:

A: First we multiply (t+2 ) and (3t-2)

Q: Find the L and W (with W≤L) of the rectangle with perimeter that has a maximum are and then find the…

A: The length of the rectangle =L  Width of the rectangle = W  The perimeter of the rectangle = 88

Q: 03: Evaluate the following integrals: E In(x-1)(x-3) -dx x²-4x+3 (3) S

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Q: dv -x +z=lz N

A: Given :dvdz=e-xz

Q: y = (kx + b)−1/2

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Q: Find the anti-derivative of g(x) = 2*, which contains the point (0, 2.44). ⒸG(x) = -2 O G(x) = 2 O…

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Q: 348, 7.) x and y are vectors between them and 2, respectively, with an angle of 120° of 3x + 27. the…

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Q: Find the equation of the parabola described below. Find the two points that define the latus rectum,…

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Q: 1 3 Solve the following differential equations of v\dv: (6x²-y+3)dx+(3y²-x-2) dy

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Q: Determine the equation of the tangent line and the normal line to the curve f(x)=x3 -3x2 +2x +2 at…

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Q: Consider a trough with the shape below. 2 m 5 m 8 m It is full of water, which has a density of 1000…

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Q: A loan, amortized over 10 years, is repaid by making payments of $1,000 at the end of every month.…

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Q: (2) Show that y = x sinx is a solution to y"+y= 2 cos x.

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Q: Find the inflection point(s), if any, of the function. Enter your answers as (x, y). If there are no…

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Q: Which of the following sequences represents an arithmetic sequence with a common difference d = -3?…

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Q: Solve the given differential equation by separation of variables. dy X- = dx 8y Cx8 X

A: We have to solve the differential by separable method

Q: For the equation, find ay evaluated at the given values. dx x² + y² = xy + 28 at x = 6, y = 2

A: The given equation:x2+y2=xy+28We need to find dydx at x=6, y=2.

Q: Kelsey heard that she could triple her money in 11 years if she invested it in a large…

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Q: In 17 years, Oscar Oaks is to receive $200,000 under the terms of a trust established by his…

A: It is given that, The time period is n = 17 years,  Future Value (FV)= $200,000 rate of return r  =…

Q: Compute the derivative. y = cos (te-61) (Express numbers in exact form. Use symbolic notation and…

A: y = cos(te-6t) here we use chain rule and derivate the equation  with respect to t

Q: Let f(x)=x² defined a function on the closed interval −2 ≤ x ≤ 8. 1. f (4) 2. f(-3) 3. f (t – 3)

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Q: Part One. All of the equations listed below are general equations of conic sections. Study each…

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Q: Apply the eigenvalue method to find a general solution of the given system. Use a computer system or…

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Q: Find laplase 4-f(t)=e²¹.t³.

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Q: Calculate the future value of end-of-month payments of $500 made for 4 years into an investment fund…

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Q: Find dy/dx for the following function:: √y-etanx = 2

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Q: 4-f(t)=e-²¹. 3 t³.

A: Topic = Laplace Transform

Q: If f '(4) = 0 and f '(x) 0 for 4 < x < 5 then f has a local minimum at x = 4. True False

A: If f '(4) = 0 and f '(x) &lt; 0 for 0 &lt; x &lt; 4 and f '(x) &gt; 0 for 4 &lt; x &lt; 5 then f has…

Q: Kiara invested her savings into a Registered Retirement Savings Plan (RRSP) at an interest rate of…

A: This question can be solved using the concept of compound interest.

Q: Use the information about values of the functions and their derivatives to calculate G'(2), where…

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Q: Consider the integral 5² (4x² + 3x + 4) dx 2 a) Find the Riemann sum using right end points and n=3…

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Q: Find the values of the trigonometric functions of 8 from the information given. tan 0 = - 8 15 cos 0…

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