2. Let h'(2) = 8, h' (2) = 5, h(2) = 3, h″(4) = −—1,h'(4) 4 ª[₂x x.h"(x) dx. 3, h(4) 6. Find = =

Q: Calculate, using the corresponding rules, the first derivative of the following function: f(x)=…

A: Givenf(x) = x.e-x

Q: 16. Use the ratio test to find the range of values of x such that convergent. 8] n=0 xn n+1 is…

A:

Q: s the statement true or false:  The solution of the initial value problem dy/dx = y^2 − 2y, y(1) =…

A: The given differential equation

Q: Let f(x) = x³ = x. We showed in an earlier section that f'(x) = 3x² - 1 and f'(x) = 6x. Use these…

A: Given,    f(x) = x3 - x   f'(x) = 3x2 - 1     f"(x) = 6x

Q: Describe how the graph of y=x² can be transformed to the graph of the given equation. y = (x - 13)²…

A: 1). If  ; the graph horizontally shifts in the right direction by  units.2). If  ; the graph…

Q: The graph of a function f is given. Use the horizontal line test to determine whether f is…

A: The horizontal line test is a visual method for determining if a function is one-to-one. If a…

Q: Find the General Solution of the following differential equations. If boundary conditions are given,…

A: Given Differential Equation

Q: You receive a credit card application from Shady Banks Savings and Loan offering an introductory…

A:

Q: Find the absolute extrema of the function on the closed interval. y = 4 cos x, [0, 2π] Step 1 The…

A: To find the extrema of the function.y=4cos(x)

Q: У 12s³ – 8s² + 12s As

A:

Q: Problems 9-18, The graph of a polynomial function y = f(x), is shown at right. Identify the…

A: Note:-Since you asked multiple sub parts, according to our policy we can solve only first three sub…

Q: HAUTHEN A bird population can be modeled by f(x) = x³ - 61x² +860x + 2200, where x = 1 corresponds…

A:

Q: IF g(x) = sin(x), then g'(x) = cos (x) 9₁ (3) = IF F(X) = (sin x + 8 cos x, then F'(x) = 6 COS (X) -…

A: Since you have posted a question with multiple question, we will solve first two question for you…

Q: Given f(x) = |x and g(x) = - 2 X +6 30 (a) (fo g)(4) = (b) (gof)(2) = (a) (fog)(4) (b) (gof)(2) (c)…

A: given, f(x)=

Q: Use the chain rule to find the derivative of 10√10x⁹ +9x¹0 Type your answer without fractional or…

A:

Q: The height of a ball t seconds after it is thrown upward from a height of 4 feet and with an initial…

A: Given that the height of a ball t seconds after it is thrown upward from a height of  feet and an…

Q: Verify that the given point is on the curve and find the lines that are (a) tangent and (b) normal…

A:

Q: https://www.myopenmath.com/assess2/?cid=112497&aid=8065477#/skip Question 16 Find Unit Vector Find a…

A:

Q: T F If two planes ax + by + cz = d and Ax+By+Cz = D are parallel, then a = A, b = B, and c= C.

A: *Since all questions are different and not related to each other in any way, Hence As per the…

Q: 5 Find the equation of the tangent line at x = for the function f(x) = x5: 4 For the toolbar, press…

A:

Q: ← Find the vertical, horizontal, and oblique asymptotes, if any, for the following rational…

A: To find the vertical asymptote of a rational function, set the denominator= 0 and then solve for xIf…

Q: Write the expression as the logarithm of a single quantity. 1 (6 In(x + 6) + In(x) - In(x² – 8)) 3

A: To write the following expression as the logarithm of a single quantity.

Q: Evaluate the sum of the convergent series ∞ n=4 [2n+2 3 + 5n n(n+1)

A:

Q: Q-1: Solve the given equation for x and check your answers |4x + 3| = |x - 61

A: Rewrite the absolute value equations without absolute values .

Q: Find the general solution dy x=y+x= =0. dx of: [y=x(c- Inx)]

A:

Q: Find the average rate of change of the function over the given interval. f(t) = 4t² - 1, [5, 5.1]…

A: The given function is The average rate of change of function f(x) over interval [a,b] is

Q: x2 (e) J (2:² +15/2 da using a trigonometric substitution. (x²+1)3/2

A:

Q: a. Find the derivative function f for the following functions f. b. Find an equation of the line…

A: The slope of a tangent line to the curve f(x) at x=a is given by m=f'(a)The tangent line to a curve…

Q: Use the given zeros to write the complete factored form of f(x). 5 f(x) = 2x² − 13x + 20; zeros: 2…

A:

Q: Question A random variable X has probability density function for 1 ≤ x ≤ 4 otherwise. f(x) = { 3/7…

A:

Q: The displacement (in centimeters) of a particle moving back and forth along a straight line is given…

A: S= 2sinπt+ 2cosπtWe have to find average velocity during each time period

Q: A silver dollar is dropped from the top of a building that is 1383 feet tall. Use the position…

A:

Q: Find two functions f and g such that (f. g)(x) = h(x). (There are many correct answers. Use…

A:

Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all…

A: From the definition of the Rolle's Theorem,If the function is continuous on the Interval  and…

Q: Find T, N, and x for the space curve r(t) = (4 sin t) i + (4 cos t)j + 3t k. T(t) = (i+j+ k (Type…

A:

Q: 5. Find the symmetric equations of the line passing through A (-1,-8, 1) and B(-1,-4,3).

A: The symmetric equation of a line passing through the points

Q: Analyze the function below. Which of the following is/are true? f (x) = 42/2 4x x-2 as x→ 4+, f (x)…

A: Consider the function

Q: (1) Use induction to show that - - 1²+ 3² +5² ++ (2n − 1)² = n(2n + 1) (2n − 1) 3

A: By using induction to show that, for all .

Q: Course: MAT 132: Calculus and Analytical Geometry Instruction: 1. Answer must be handwritten. 2.…

A:

Q: A. Verify the following identities: 1+ csc x i) seca ii) cot x = cos x 1-2 sin r cos x - sin x = cos…

A: According to Bartleby guide line we do only first part of multiple part questions.given, (A) (i)

Q: Use the Chain Rule to find dw/dt. W = xeylz, x = 18, y = 5-t, z = 1 +6t

A:

Q: Find the vertical asymptotes of the function below. -9m²-4m- (m²-25) f (m) Show your work here = m =…

A:

Q: Solve the equation. x²-x²=2x² +4 X

A: given equation to solve

Q: Question 12 ▼ Perform Basic Vector Operations Given a = (-2, -3) and ₫ = (−10, −6), find —ā + 5ā. -ā…

A: The vectors are The is to find the value of

Q: 14. d dx - (2x − 3g(x))| x=4

A: x12345f′(x)35214g′(x)24315

Q: find an inner and outer such that y=f(g(x)) then calculate dy/dx  y=tan5x^2

A: Given y = tan(5x²)

Q: St tan³ x secx dx

A: since you have posted multiple questions in this question which are not interlinked so i have solved…

Q: Use the chain rule to find the derivative of f(x) = 8√/9x³ + 5x5 Type your answer without fractional…

A:

Q: If y and w are two vectors in R³, and they are not scalar multiples of one another, then which of…

A: Given that if v and w are two vectors in  and they are not scalar multiples of one other

Q: Evaluate the function for f(x) = x + 3 and g(x) = x2 - 2. (f + g)(t - 8) (f + g)(t - 8) =

A: