Find the slope of f (x) =e8x-10 at x-1.

Q: Eväluate the following. 1. ſ csc?dx 5

A:

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A:

Q: Suppose that f(x, y) and the region D is given by {(r, y) | 1 < # < 2,1 < y < 4}. D Then the double ...

A: ∫∫D f(x,y) dx dy = ∫y1y2∫x1x2 f(x,y) dx dy

Q: хах 3. S cos (2-3x2)

A: To evaluate the integral ∫x dxcos2-3x2.  

Q: 4. S x?dx It X

A:

Q: dr = Blank 1 Evaluate the Definite Integral 0. I+8x Blank 1 Add your answer

A: A detailed solution is given below

Q: the length of the arc of the curve having the parametric equations x = t³ and y = 2t2 %3D %3D from t...

A:

Q: • y=3 •x= /9– y² Consider the integral (2² + y?)*/*dæ dy. - 3 Jx=0 a) Using the bounds of integratio...

A: To solve the following integral using polar coordinates

Q: Let V represent the volume of a sphere with radiusr mm. Write an equation for V (in mm) in terms of ...

A: Please see the answer below.

Q: | sin' cos“ 4 x

A:

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

A: Given data and correct graph÷

Q: 7/3 x tan (x) dx 2

A:

Q: The vectors (-1, 2, – 1) and (2, –4, 2) are parallel and not orthogonal. True False

A:

Q: What is the derivative of the function f(x)=1/x+1 at x=1?

A: To find out the derivative of the function at x=1 

Q: Evaluate: ,(3y6 – 8y* + 9y?)dy

A:

Q: Find the area of the triangle with vertices P(1,6, -5), Q(0,0,0) and R(4, 6, 1). NOTE: Enter the exa...

A:

Q: SOLVE USING :TECHNIQUES OF INTEGRATION: TRANSFORMATION BY TRIGONOMETRIC IDENTITIES Jycos y ay ydy n=

A:

Q: Calculate the curvature of the vector function when t= -7: 7(t) = (1+ 2t, 7 – 3t, -8 + 5t)

A:

Q: Suppose the sales of potato chips generates a profit at the rate P′(t)  =  10t ln(7t) dollars per we...

A:

Q: Evaluate the following integrals. (a) / (sin æ)(tan²r + csc², x) dx

A: As per our guidelines we are supposed to answer only ? 3 sub- parts ( if there are multiple sub- par...

Q: Srk to justiry a STAE Find the equation of the tangent plane to f(x, y) = In(/x² + y²) at the point ...

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. (7x4 + 6)° dx...

A:

Q: Find a Cartesian equation for the curve. r = 7 sec(?)

A: Given query is to find the Cartesian equation if the curve.

Q: 4 dx 1– cos(4x)

A:

Q: Find the volume of the solid generated bounded by x = Jy – 1, x = y? – 2y + 1, rotated about the x- ...

A:

Q: Find the most general antiderivative. dy A В c) 8 +C D

A:

Q: Use differentials to approximate v25.5 .

A:

Q: -3 dx dy 0, y2

A:

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflect...

A: The graph is shown below:

Q: Find the moment with respect to x = 2a the area bounded by x = 2y and x2 = 4ay. %3D

A:

Q: Column A 1. xy = 2 _2. 3x?y – x = 5 _3. 3y(y – 10) + 24x = 0

A:

Q: 2 4. sin

A: 4.  let, x=sin-122x=sin-1222x=sin-112sinx=12sinx=sinπ4

Q: Find the length of the arc of the curve having the parametric equations x = t³ and y = 2t? from t = ...

A:

Q: W. A. Mozart’s opera Die Zauberflöte is scheduled to premiere at Theater auf der Wieden. If the stag...

A: This question can be solved using the concept of area under curve.

Q: sin2x de Evaluate:

A:

Q: Find an equation of the ellipse that has center (-3, 4), a major axis of length 12, and endpoint of ...

A:

Q: A function y = f(x) is continuous and differentiable on the interval (0, 7). If f(x) dx = 13, f(1) =...

A:

Q: Justine and Ashley are partners in solving problems involving derivatives. They agreed to solve the ...

A:

Q: Stan? ydy 7 3 4

A: Given,            ∫tan734ydy

Q: 1. Evaluate the limit. Do not use L'Hopital's Rule a. lim cos-1(x – 13) Answer should be in radians ...

A: (a)limx→32 cos-1(x-3)(b) limx→3 log2x2+2x+1  

Q: If y = 4x³ + 2x² + 11, find the approximate value of y when x = 2.01, using differentials.

A:

Q: V1- cosxdx COSX

A:

Q: Use the First Derivative Test to find the local maximum and minimum values of the function. (Enter y...

A:

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 18j as ...

A:

Q: The derivative of f(x) = %3D 3. 5' attains its maximum value at r =

A:

Q: Suppose f " is continuous on (-o, o). (a) If f '(-3) = 0 and f "(-3) = -9, what can you say about f ...

A: Given that, (a). f'(-3) = 0  and   f''(-3) = -9 (b). f'(5) = 0  and   f''(5) = 0 We have to choose c...

Q: Let w = xey/z, where x = t², y = 1-t, and z = 1+ 2t. Use the chain rule to find X. (Write your answe...

A: Given query is to find the derivative.

Q: Use the functions below to find the given value.

A:

Q: 700 find the following. For the demand function q = D(x) = - a) The elasticity b) The elasticity at ...

A:

Q: Find the limiting value of upper sum approximations to the area of the region R below the graph of y...

A: