4) Determinė the equation of the tangent to f(x) = -x² + 3x+1 that is perpendicular to the line x+2. 3

Q: Find the derivative of the function f)= [sec() 6 sec-1 xVx2-9 1 sec x Vx2 -9 O 3 sec-G) 3. xVx2 -9 3…

A: In this question we have to find the derivative of the given function.

Q: .2 dx I (w² – 25)5/2

A:

Q: ,R(x) dollars is the total revenue from the sale of x television sets: R(x) = 600x 20 i) Find the…

A: Rx dollars is the total revenue from the sale of x television sets: Rx=600x-120x3i To find the…

Q: Sketch the region of i nd change the order of integration ntegral 9. 3 f(x, y) dydx

A:

Q: 1 In solving the antiderivative of f(x) = by miscellaneous substitution, the substitution z =tan|…

A:

Q: If f(x) = 2x + Ax?+ + Bx – 5, find the value of A when f(2) = -3 and f(-2) = -37 -5 -3

A: A=-15/4

Q: O Evaluate the following integral using Trigonometric Substitutions Method: 1- x dx 2, y =

A:

Q: Q4) Evaluate the following integral using Trigonometric Substitutions Method: 1 - x dx 2. y =

A: To evaluate the given integral.

Q: Question 8 5x cot 5x dx, can be evaluated conveniently using Trigonometric Transformation. (A True…

A: We can evaluate the given integral by using the substitution u = csc (5x)

Q: dy Find if yJx-9 =Xyt2 %3D

A: we have to find dy/dx

Q: Work Problem 1 (With integrity statement] Let R be the region bounded by yx+ 2, y=0, und x=2. Draw…

A: To find the value of given double integral.

Q: Find the derivative of the function f(x) = csch () () -2 coth csch 2 2 -2x coth csch -x coth csch 2…

A: L

Q: 33 2Vx- f(x) = T sin sin 2x + Ve2x + 2x – In e, x + 1 - 1-x (1–3t)5(t³-8) alt) t # 2

A:

Q: dx 1.4 Ven(3)+2x dx 1.5 Show steps. Your reasoning is more important than the numerical answer.

A:

Q: IVy+1-2dy can be evaluated conveniently if we let x =VVy+1-2 and dy = 4x(x² +2)dx. T True F False

A:

Q: wo linearly independent solutions of the differential equation y"-4 y=0 are O y,=e** and y, = e 4x…

A: I am attaching image so that you understand each and every step.

Q: 1. Use a parametrization to express the area of the given surface as a double integral and then…

A:

Q: S sin x (cos x)ådx (cos x)ž + C none of the choices (cos x)Z + (sin x)ž + C O A B.

A:

Q: Example -3 .2 Evaluate I (x+ 2y – z) dx dy dz I (x + 2y – z) dx dy dz - 2 SLE + 2xy – xz dy dz - 2…

A:

Q: 1. S cot 2v dv 2. S tan*- dr 2 3. S (tan tan 5w +cot cot 5w )² dw sec (Inln x* ) dx 4. S 5. S Csc4…

A:

Q: a. f(x) = 4x + 11 find: f'(-2) b. f(x) = 2x2 5x 3 find: f'(2) |

A: We have to calculate value of derivatives function for the given x value.

Q: The graph of a function f is shown below. YA f a Graph b 1. Which grap is an antiderivative of f?

A:

Q: If D is the region enclosed by 4 < x? + y? < 9 and y <0, then which of the following is the setting…

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Q: xdx can be solved by either algebraic subsitution or integrataion by parts. X-1

A: ∫xdxx-1

Q: Q14. The value of lim et3 -x tan x-cos x x2 is? -

A: use l hospital rule for solving for the integral.

Q: 1-y -x. dy at the point (0,1) given the curve dx Find the value of 1+y

A:

Q: Egay wants to fence a rectangular grazing area along a straight river (no fence is needed along the…

A: Given problem:- Egay wants to fence a rectangular grazing area along a straight river (no fence is…

Q: Consider a function () whose dertvative ') continuous as shawn below Graph of f'(x), NOT f(x) 1 5 -1…

A:

Q: In solving the antiderivative of f(x) = cos(x) 1- cos(x) by miscellaneous substitution, the…

A:

Q: Question 13 - [x²/25+ x²dx , we let x= 5sine. (T True F False

A: We have to find integration

Q: 5xy = 4x?z – 3yz?; yx and yz. -

A:

Q: Let flx) = S.5 1 dt. o t4 +5 Find the derivative f'(x). none of the choices O e2x O ex

A:

Q: In this question you must show detailed reasoning. Use the substitution u = 6x2 + x to solve the…

A: The given equation,      36x4+12x3+7x2+x-2=0

Q: Consider Evaluate (ar +6r)e' (6r*+9x)e

A:

Q: (a) Show that the integral test applies, and use the integral test to determine whether the series…

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Q: Find h'(x) if h(x) = x³e*sin x. O a. h'(x) = 3xe*sin x + x'e*sin x + x'e*cos x 3X, O b.h'(x) =…

A:

Q: (4x* – r*y +y*)dx + x*dy = 0.

A: Let's find.

Q: Find the values of a and b for the curve x'y+ay =b if the point (1,1) is on its graph and the…

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Q: Using implicit differentiation, find the slope of the tangent line at the point (9,16) on the curve…

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Q: Question 6 The tangent to the curve y = 1/x intersects the r-axis at (/2,0). What is its…

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Q: R={ (x,y): 0<x, 0<y, x²+y? <9} be enclosed region. The result of the following double integral (by…

A:

Q: dy = 2/y- 5In|Vy+5| + C Vy+5 (A) True B) False

A: we will use basic integral rules and the method of integration by substitution.

Q: Solve the following Initial Value Problem: y"+ 16y 0, x)= 2 and y'() = 5. %3D

A: Topic = Differential equation

Q: If a ball is given a push so that it has an initial velocity of 24 ft/sec down a certain inclined…

A: Given problem:- If a ball is given a push so that it has an initial velocity of 24 ft/sec down a…

Q: Evaluate the following and post your answers in t (Activity 2.1) 1.Sdz 2. Sa dx 3. S(7y6 + 8y3 –…

A:

Q: Evaluate: e* cos (7e*)cos (4e*) dx (A sin (3e*) +sin (11e") +c - sin (11e*)+C - sin 6. 22 ® -cos…

A:

Q: 33 Vx2 f(x) = + Ve2x + 2x – In e, x # 1 TT Sin 2x - 1-x

A:

Q: 3 Fin %3D tan (X?y) tanx 2.y=(1+x)

A: 1) ln(x2+y) =tan-1(x2y)  2)y=(1+x2)tan^(-1)(x).

Q: Give the VALUE only. No need to inclu unit. *

A: Given: s=24t+10t2

Q: | sinh54x cosh 4x dx can best be evaluated by General Power Formula. A True В False

A: Option A is true