f(X) ex finathe cn'nical numbers of f O de remine whethereacn is a1ocaimaximum, 1ocalminiumum orneither usSIng a numberTine orenar. O AA WAIM Intervas is f fAcreasing

Q: 1. Find the area bounded by the curves y?=2ax, y²=4ax-a? 2. By integration, show that the area of a…

A: As you have asked multiple questions so I have answered first question as per the guidelines

Q: Cors ider the function. tx) - x-2 (a) Find the Imverse function of. (b) Graph f and on the same set…

A:

Q: .In a particular very small region, the consumer price index, C, depends on the current value of…

A: Given information C=100+(e-EP)/Fwhere, C = Consumer Price Index E = Gross Domestic Regional…

Q: If f(x) is an even function and f(x)dx = 5, find the value of , f(x)dx. %3D O 10 O 5 O cannot be…

A:

Q: The function s(t) describes the motion of a particle along a line. s(t) = -14t+ 21 %3D (a) Find the…

A:

Q: -4x Calculate the following integral Je dæ by using a substitution O - 0.25e^(-4x) + C O 0.25…

A: ∫ e-4xdx

Q: x*- 2x³+x² xdx

A: ∫x4-2x3+x2xdx ∫x2x2-2x+1dx ∫x2(x-1)2dx ∫x2(x-1)dx ∫ x3 -x2dx x4/4 -x3/3 +c

Q: Which of the following angle measure is coterminal with an angle whose measure is 798°? -78° -278°…

A: Let the angle be theta.

Q: 5 and 6

A: 5. ∫127*ln(3x)xdxSubstitute u=7ln(3x)→dudx=7x→dx=x7du=17∫12uduWe know that…

Q: Write an equation for the polynomial graphed below 5+ 4 2+ 1+ -5 -4/-3 -2 -1 -1 1 2/34 5 -2 + -3 -5+…

A:

Q: 2. Solve the equation: y" – y " -2y' = 0 O y = cje* + c2 + cze2* O y = cje* + c2e* + c3e2*

A: The given equation is  y'''-y''-2y'=0

Q: Consider the following limit. Find the limit L. L = (a) Find & > 0 such that |f(x) - L 0 such that…

A:

Q: 2x + 3 x² + 2x + 4

A: To integrate the rational function. ∫2x+3x2+2x+4 dx

Q: The function s(t) describes the motion of a partide along a line. s(t) = 12t – 2 (a) Find the…

A:

Q: Part 1: A derivative computation using the chain rule Suppose F(x) is a differentiable function for…

A:

Q: (ax-2) dx x2+ 2X + 15

A:

Q: Evaluate the following integral: 10x dx O 2

A: Integration

Q: 3. Find the area (in sq. units) bounded by the parabolas x²-2y = 0 and x2+2y-8=0.

A:

Q: Find S 2t²e*dt

A: Given query is to find the value of the integral.

Q: х3-4х-10 х2-х-6 (2x + 21n|x – 31 – 4 In |x + 2|) + C (2x + 2 In|x – 3| + 4 In |x + 21) + C Option 1…

A:

Q: Find the dy/dx: Given e(x²-1) y =

A: Solution is done in step 2

Q: incorrect The answer above is NOT correct. 1.8 F2 1,0 10 The slope of the tangent line of the…

A:

Q: Part A. Evaluate the following limits using L'Hospitals Rule, algebraic manipulation, logarithms, or…

A: Note: According to our expert guidelines only first three subparts are to be answered kindly repost…

Q: 4-2y -2 dx dzdy

A:

Q: Find the following integral 4sinxdx O -4 cos x + C O 4 cos x + C

A:

Q: 6. S (10 x - 40) dx x 2 - 8 x + 15 8. S (e 5x - e 2x + 8) dx 2 e 5x 7. S 10 cot 2x dx

A: We have to find the integral.

Q: Find the critical points of the function x -8x2 О 0,2, -2 O 0, 1 О 1,2, 3 this function does not…

A: Solution: Let f(x) = x4 - 8x2 find where f'(x) is equal to zero or undefined  f'(x) = 4x3 - 16x

Q: In ly-y-cf dy

A:

Q: Area under the curve y2 = 4x from x=1 to x=4

A:

Q: 8. The price-supply and price-demand equations of a certain product are given by p = S(x) = 15 +…

A:

Q: Supply the missing integrand and limits of integration. dy (3x² – 2xy + y³) dx dy

A:

Q: Find the value of y (0.4) if y' + 0.2y = 0, y(0) = 5. Solve analytically.

A:

Q: 19. For the following function f (x) 3x-4 %3D find any x-intercepts, y-intercepts, and equations of…

A:

Q: 7. Particular solution of (D³ + 12 D2 + 36 D)y = 0, when x = 0, y = 0, y' = 1, y" = -7

A:

Q: ydy J-7-By-y

A: Given problem:- ∫ ydy/√(-7-8y-y2)

Q: Show that the function f defined by (x, y) = (1, –1) f(r, y) = { x² + y (x, y) # (1, –1) x + y is…

A: Given f(x,y)=1                        (x,y)=(1,-1)x2+yx+y              (x,y)≠(1,-1)

Q: 9. The general solution of y" + y = cos? x

A: Given :   y"+y=cos2x

Q: Evaluate the given integrals. 1. ſ cos v2x dx 2. fx a*dx

A: Please see the answer below.

Q: x² – 3x – 7 - dx (x² + x + 2)(2x – 1)

A:

Q: he velocity function is v(t)=−t2+4t−3 for a particle moving along a line. Find the displacement and…

A:

Q: 2х + 1 (х — 2)(х — 3)2

A:

Q: (x+1 0SxS2 f(x) = { Then what is the result of| ($2) dz 5

A:

Q: Find Inz3 -dz

A:

Q: 6. The population of a community is known to increase at a rate proportional to the number of people…

A: We have to find the time it takes for the population to quadraple.

Q: Find the dy/dx: Given tan (x²) y =

A: Differentiate with respect to x.

Q: Find the f"(x). Given: f(x) = (3x + 1)(2x – 1)

A:

Q: ди and az ди ди Find дх ду (whenever possible) for the following functions. 1) u = 3x²y + xlny² –…

A:

Q: Converting 1530 degrees to radians will correspond to which value? 19n 3 201 B 3 29Tt

A: The value of θ° to radians is given by        ∅ = θ×π180  radians

Q: (MODULE 3& 4) ACTIVITY 1: Determine if the following functions are continuous at the given value of…

A: As you have asked multiple subparts so I have answered first three subparts as per the guidelines.