Evaluate the indefinite integral. (Use C for the constant of integration.) 5 sin(3x) sin(6x) dx

Q: Use the Linear Approximation to f(x, y) = V at (81, 16) to estimate 15.9 (Use decimal notation. Give...

A: Given:     f,(x,y) = √(x/y)      Point: (81, 16 )    Approximation : √(81.1/15.9)

Q: Find the left most point on the upper half of the cardioid r=1+cos(theta)

A: we need to find leftmost point on the upper half of the cardioid r = 1 + cos(theta) by plotting in...

Q: Use the following information to answer the next question Observe the following graphs: Graph A Grap...

A: NOTE: Refresh your page if you can't see any equations. . as we can see, graph A represents a cubic ...

Q: dy (x2 — 9) + ху %3D0 + ху — 0 dx

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Q: Problem 5. In this problem, you wil fnd the volume of the solid genorated by revolving the reogion b...

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Q: -7 Let f(x) 7xVI + f'(x)

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Q: Let f(x) tangent line to the graph of f(x) at the point (0, 0) is = 6x + 15 – 15e". Then the equatio...

A: The given curve is: f(x)=6x+15-15ex

Q: how do you prove: 1. (-1)*(-1)=1 2. 1 is a positive number. Please answer both subparts if you un...

A: To prove: 1. (-1)*(-1)=1 2. 1 is a positive number.

Q: y = (3 + e“)“ dy Use Logarithmic Differentiation to find dx dy

A: We are asked evaluate the derivatives

Q: Find the area between y=1.2x+2y=1.2x+2 and y=x2−4y=x2-4. Round your limits of integration and answer...

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Q: Find lim Itcos 2X メ 니(x- 폰) 2

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Q: Find 18. | cot°0 sin*e de

A: Since we are given with the multiple number of questions and our guideline is solve the problem.

Q: Complete the differentiation formulas a) d/dx(c)= b) d/dx(ax+b)= c) d/dx(x^n)= d) d/dx(1/x)= d)...

A: We have to find derivative

Q: Nutrition Ruff, Inc. makes dog food out of chicken and grain. Chicken has 10 grams of protein and 5 ...

A: NOTE: Refresh your page if you can't see any equations. . x=number of oz of grain y=number of oz of ...

Q: Find a unit vector ū that has the same direction as the vector i = (-3, 3, - 3 -3 2 А. 22 22 22 3 B....

A: find the magnitude for finding the unit vector.

Q: 17. The hourly temperature at Portland, Oregon, on a particular day is recorded below. LAM. 46 3. 8....

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Q: lim 9-t 3-1T

A: NOTE: Refresh your page if you can't see any equations. . use the formula 

Q: Find an equation of the tangent plane to the surface at the given point. 6x² + 2y² + 4z² = 30, P= (2...

A: NOTE: Refresh your page if you can't see any equations. . the function f is 

Q: B. EXACT EQUATIONS Find the general solution of the following differential equations (1) (x² + y²) +...

A: Solution is given below:

Q: Find the derivative with respect to x of f(x) = 2(x + 5)* + 3(x + 5)° + (x + 5)² + 4.

A: The given function, f(x)=2x+54+3x+53+x+52+4

Q: Fi ind the derivative with respect to x of f(x) = ( (3x³ + 8)' + 4) 9 + 2.

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Write a full soultion  Let f(x) = 1− x/x+1 A) Find the inverse of the function f

A: Follow the steps discussed in solution.

Q: Find (f 1)(a) for f(7)=0, f'(1)=-1, and a=0. -л -1 1/л -1/n

A: topic - derivative of inverse function

Q: Problem 3. Find the derivative of the following function I sec(1 +r') dt. sino) F(x) = F() D

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Q: Compute the derivative of the following function and find its tangent line at x = 0. Graph the funct...

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Q: A stone is thrown vertically upward with a velocity of 40 feet per second from the top of a tower 20...

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Q: 1. Use the definition of partial derivative as the limit of a difference quo- tient in order to comp...

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Q: A. Sketch the graph of the function, not by plotting points, but by starting with the graph of a sta...

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Q: 4. Consider the function g(x) = I +3 a) Find the derivative of g using differentiation rules. b) Ver...

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Q: v(t) = VE – Vt, then find the second derivative, v" (t) =

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Q: The function f(æ) can be approximated by L(x) = 3 – 2(x – 4), near x = 4. What is the value of f' (4...

A: topic -linear approximation

Q: S(x5 + 10)®x*dx 4 X.

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Q: Let f(¤) Find the values of a where f'(x) 3. Give exact answers (not decimal approximations). The gr...

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Q: x² +4x-12>0

A: Solve the inequality, and write the solution using interval notation . x2+4x-12>0   

Q: %23 %24 In using the technique of integration by parts, you must carefully choose which exp followin...

A: The solution are next step

Q: Find the volume of a solid obtained by rotating the region underneath the graph of f(x) = 28 – 7x² a...

A: Topic = Volume

Q: 5. | sin (Tx) cos (Tx) dx

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Q: the standar form of the equation of the hyperbola with the given characteristic Foci: (0, 19); asymp...

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Q: 12. An arrow shot straight up from ground level with an initial velocity of 128 feet per second will...

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Q: 7. Compute , and- axay : f(x,y) = (x + y)(2x + y)² ax 'ay

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Q: Suppose u(t) = w(t? + 4) and w' (5) = 11.

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Q: Using calculus, find the dimensions of a cardboard box without a lid that has a volume of 32, 000 cm...

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Q: Evaluate the integral of * 4xV16 x2 using the new variable. а. 2/3 оБ. 256/3 c. 255/3 O d. 15/3

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Q: The quadratic approximation at x = 1 to f(x) is Q\left(x\right)=10+3\left(x-1\right) 3 (x – 1) + 2(x...

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Q: Use l'Hopital's Rule to evaluate the limit. cos 3x - 1 x2 21) lim x-0 A) - C) 0 D en len

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Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 16) y = (x2 - 2x + 1) eX B) (x2...

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Q: 4. Find the exact arc length over the interval. b. x =y* from y = 1 to y = 4

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Q: Find the standard form of the equation of the parabola with the given characteristic(s) and vertex a...

A: We use the general equation of left opening parabola y2=-4Ax and solve it.

Q: 4. (Dª + 2D³ – 6D² – 16D – 8)y = 0 - - - %3D

A: The given differential equation,     D4+2D3-6D2-16D-8y=0

Q: |x| for x 2 10. g(x) = %3D

A: