A. Evaluate the following integrals. 1. fxdx

Q: a. Determine the point (a, la)) for which f'(a) = a, given that Ax) = -x + 3x-7. b. Write the…

A: For (a), Given: We need to find the point a for which f'(a)=a. Here, f'(x)=-2x+3. So,…

Q: Answer what is required in the problem. d 1 -dt 1+t dx .17

A:

Q: Convert the Cartesian equation x² + y² -2x= 0 to a polar equation. x2 + y2 -2x 0= O 2=-2 cos e Or= 2…

A: Given artesian equation,x2+y2-2x=0Put…

Q: Use the graph of y = fx) shown at right to determine whether fis continuous at 0. (-6,4) 41 94) Is f…

A: We can solve this as follows:

Q: A company estimates that the revenue (in dollars) from the sale of x doghouses is given by R(x) =…

A:

Q: Assume x and y are functions of t. Evaluate dx = 9, x = 3, y = 0. for 4xe = 12 - In 729 + 6ln x,…

A: Given query is to find indicated derivative.

Q: Given the geometric sequence where a, = 2 and r = 2 Find a10-. 32 256/2 32/2 256 O O

A:

Q: Find the limit. (ti – 6j + r² k) lim t→4 lim (ti – 6j + r² k) = i+ j+ i i i k

A:

Q: Use the Integral Test to determine whether the series is convergent or divergent. (If the quantity…

A:

Q: dx J1- ² 2x + x°

A:

Q: The particular solution y, of the differential equation y" + 4y' + 4y = 3x? + 1 is (1/8) (1-2x+6x^2)…

A:

Q: Find a series solution about the ordinary point 0 of the differential equation y"+8xy'-4y-0 O None…

A: Given

Q: find the y a) y= CtX_ メ

A: As per guidelines we have to solve one question Please repost other questions again

Q: Evaluate the integral -2x + 4 dx J (x² + 1)(x – 1) 2

A:

Q: 24 Evaluate the following. 5! 120 15 720

A: 24)  To evaluate: 5!

Q: Activity 1. Match the functions in Column A with their corresponding antiderivatives in Column B.…

A:

Q: Solve the second derivative(y") of the following function and simplify the final results. Show your…

A:

Q: Solve the equation (y - x + xy cot x)dx + xdy = 0

A:

Q: Ge + C2x e* + C3 x*e*

A:

Q: Plz solve both these are just mcqs type questions so plz solve this both

A:

Q: Let u = and v = Find each quantity: a) (u)(v)  b) (u)(u)  c) (v)(v)

A: Given: u =<4,-3> and v =<-2,7>

Q: Test the series for convergence or divergence. (If the quantity diverges, enter DIVERGES.) (-1)"-1…

A:

Q: I. Find the equations of the horizontal and vertical Tangents. x3 + 3x? – y? = 0

A:

Q: I can't see the full solution.

A: Apologies for the inconvenience. If you do not see the Math expressions properly, then please…

Q: Given f(x,y, z) = In(x² + y² + z²), show that ² f , ²f , ² f x² + y2 + z2

A: Given problem:-

Q: x2 dx - 1

A:

Q: Given the following differential equation (E): y" + 2y' + 5y = 0. The solution of (E) is: None of…

A:

Q: Using Sandwich Theorem, the sequence 2 cos? n + 1 an = 4 - diverges converges to 0 converges to 2…

A: Use range of cos x which lies in -1 and 1

Q: J(x) Rewrite h(x)- g(x). g(x) + 0 as a product and Use the product pule to derive the quotient rule.

A:

Q: 2) y= e** (c, cosk + C2 sinx)

A:

Q: 10 Evaluate S f(x)dx f(x) 4 X. 9 10 in

A: Given: And I=∫010f'xdx

Q: dz dz IV. Suppose z is a function of r and y, and tan Vy? +x² = z*e®%. Solve for and fie

A:

Q: Eliminate

A:

Q: (c) Find marginal profit at q = 500. 10 Explain what it predicts. The total profit will increase by…

A: Apologies for the inconvenience.   #c) We have found that marginal profit at q=500 is 10.  It means…

Q: Use the Integral Test to determine whether the series is convergent or divergent. (If the quantity…

A:

Q: 25 Type the correct answer in each box. 37 The vector \ / Is reflected across the line Y = 1 and…

A:

Q: cos(xy) + secy = 5

A: To find out the second derivative y".

Q: Q2. An object is kept at a distance of 20 cm from a concave mirror. A real mage is formed at 20 cm…

A: Topic:- algebra

Q: The equation o=- in spherical coordinates represents sphere. Select one: True O False

A: Here, the given equation is: φ=π5

Q: For some constant a, the following improper integral a | (x2 + 1)e2×dx 2х converges to converges to…

A:

Q: Using decomposition into partial fractions, 4x2 + 2 -dx x(x² + 2) is equal to In|x (x? + 2)| + C…

A:

Q: Arcsin(x/y) = 4x + 3y

A:

Q: Solve the second derivative(y") of the following function and simplify the final results. Show your…

A:

Q: P6: x2 x² – 1

A:

Q: Asec24xdx

A:

Q: Given: a= 22, c=24.1, zB = 67 C A Solve the triangle. (Do not round until the final answer. Round…

A:

Q: 2x3 = (3xy + 1)2 Implicit Derivative with Solution (step by step using chain rule and product rule)…

A:

Q: 2. Find the average value of the function x2 In(x) for 1 5x<3 Show your work in evaluating any…

A:

Q: Find the derivative of f(x)= x% (x% + x% +x%

A: Find the derivative

Q: L,x²(x³ + 8)²dx 19. Use the Fundamental Theorem of Calculus to evaluate:

A: