8. Given f(x) = sin (4x + 7), find f' a) 0 b) 4 9. The derivative of y = √√ex is: π a) Ve ex -4 d) 1 1 b) ਐਕ c) ਐਵ d) √√√ex

Q: 4. The diagram is a rectangular prism. Let u = AB, v = AD and w = AE. Express each vector as a…

A: The diagram of the rectangular prism isthe side vectors of the rectangular prism are

Q: Given the differential equation 3y" - y' = 2x, the complementary solution is A. y = C₁ + C₂ex B. y =…

A:

Q: Suppose that f(x) = (x + 8)(x-8)². (a) Find all critical values of f(x). (Enter your answers as a…

A:

Q: A function f(x) and interval [a, b] are given. Check if the Mean Value Theorem can be applied to ƒ…

A: • The Mean Values Theorem is satisfied. • The value of c guaranteed by the Mean Value Theorem on [1,…

Q: 12. The population of a city is growing exponentially and can be modeled by the equation…

A:

Q: The Western community is composed of students, staff, and faculty. Students make up 55% of the…

A: The Western community is composed of  students, staff, and faculty. Students make  up 55% of the…

Q: Use the chain rule to find and, where First the pieces: శ శీరశౌర And putting it all together: x = =…

A: We need to use chain rule to find derivative.

Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at x = 1 for f(x) = ln(x + 1). T2(x) =…

A:

Q: #3: Find the maximum of f(x, y) = 19 ln(18x6y6) + 43 subject to x² + y² = 25, x > 0, y > 0.

A:

Q: Please answer these question using differential equation but the last question just answer thank you

A: 1st question: option C 2nd question: option D 3rd question: option B 4th question: option…

Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral…

A:

Q: If f(x)=√√x²-1 and g(x) = x+1, which expression is equal to f(g(x))? + 2x (x+1)²-1 +x-1

A:

Q: Suppose for a particular commodity, & = 0.33 and that currently 50,000 units are selling for $6…

A:

Q: A company estimates that the weekly sales g of its product is related to the product's price p by…

A: SolutionA)11/5B)$2166.94C)$2276.86Explanation:Step 1: Explanation for question

Q: Find the area under the curve of the following function f(x) = 7x³ on the interval [2, 6].

A: Given a function,f(x)=7x3To find: The area under the curve on the interval [2,6]

Q: 18.2 Well water having a total hardness of 300 mg / L as CaCO , is softened by split treatment . A…

A: The objective of the question is to calculate the regeneration period, the hardness of the finished…

Q: Consider the graph below. Assume the points on the curve are evenly space and so consecutive points…

A:

Q: 3. Find the principal unit normal vector N(t) at the point (5, 1, 0) for the curve defined by…

A:

Q: The following series, e² + e¹ + 6 + 8 + e 10, expressed in sigma notation is: ✗1e2k. true false

A:

Q: Determine the interval of convergence of the power series Σ (x-5)" n.3n n=0

A:

Q: SOLUTION If f(x)=5x2 - 1 40 In(x), then 1 f'(x)= 10x 40x 1 + [f 1 + [f'(x)]² p>'(x)]² = - ( 1 10x…

A: S(x) = 5x2 + (1/40) ln(x) - 5

Q: Find the arc length of the graph of the function over the indicated interval. (Round your answer to…

A: The arc length = 8.352 unitExplanation:

Q: pls help on all asked questions pls

A:

Q: Consider the following. dz dx ༼---vw dtitydc Write the above using cylindrical coordinates. (Choose…

A:

Q: Please help with this question

A: (A) 3.6 Degrees per hour  (B) 2.184 Degrees per hour Explanation:Step 1:Step 2:

Q: Question 6 Using the definition of the slope of a tangent line to a curve, find the slope of the…

A: a)f(x) =

Q: Consider the parallelogram with vertices A(-3, 0), B(-1, 3), C(5, 2), and D(3, -1) Find AB and AD,…

A:

Q: 1)What is the antiderivative of f(x) = √√x + sinx

A:

Q: == 8. Suppose g is a function which has continuous derivatives, and that g(8) = 4, g'(8) = 1, g" (8)…

A: The objective of this question is to find the Taylor polynomials of degree 2 and 3 for a function g…

Q: Prove the followings: - 1. Vẻ - du = uva − x +aarcsin;) +C

A: To prove the following.Note: Since you have posted multiple questions, we will provide the solution…

Q: Find the mass and center of mass of the lamina that occupies the region D and has the given density…

A:

Q: 3. Find arc length of the vector function r(t) = (t², 2t³, 1 – t³), where 1 ≤ t ≤ 2.

A: The arc length of the curve defined by r(t) over the interval [1, 2] is 221​.Explanation:To find the…

Q: Complete the following table with the derivatives. Ensure that you show ALL steps. Simplify your…

A:

Q: 10. Write the integral needed to find the volume of the solid formed when the graph of the region…

A: Question No. (10): To write the integral needed to find volume of the solid formed when the graph of…

Q: Gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. It forms a pile…

A: Please refer below for answersExplanation:To find how fast the height (h) of the pile is increasing…

Q: The graph below is of f'(x) for some function f(x) with domain (-00, 0o) (i.e., the graph of the…

A: Given graph of f'(x)

Q: Determine the exact point(s) on the curve y = where the tangent line is perpendicular to the line 2x…

A: The objective of this question is to find the exact point(s) on the curve y = 2x - 1 where the…

Q: Find the volume of the solid formed by revolving the region bounded by the graphs of y = 3 - x^2 and…

A: Given the region is bounded by the curve and line

Q: Find the partial derivatives of the function က် ထိ စီ ။ ။ ။ w=v4r2 +882 +7t2

A:

Q: Find the logical value of the proposition and the domain of discourse is R(real)

A: The logical value of the proposition ∀x∃y∃zxyz=1 is true for all x∈R except x = 0.Explanation:Step…

Q: 4. Find_r(t), if_r'(t)=4sin(2t)i +8t³j and r(0) = 8i-3j. A) r(t)=-2 cos (2t)i+2t¹ j B) C) r(t)=-2…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) Sin(x+ In(x + √x-6) dx x2

A:

Q: Explain why : exponential equations of the form y= a x 2 ^(b(x-h)) + k have no roots if: a) a0 and…

A: The given exponential equation is

Q: Hello  Could you help with this problem:  Let S be the surface given by the equation y (see picture)…

A: (x,y,z)=(cosz,sinz,z),−2π​<z<2π​Explanation:Step…

Q: Let 4xyz = e². Əz Əz Use partial derivatives to calculate and მე მყ and enter your answers as…

A:

Q: Need help with A and B of this equation

A: (A) N′(x)=x23630​ (B) N′(10)=36.3At $10,000 level of advertising, sales are increasing at the rate…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS.

A: 3)Option C is correct answer  4)Option A is correct answer  Explanation:

Q: Consider the equation ex+3y+4x+9y+ sin(xyz) + 12z = 1 The implicit function theorem implies that…

A:

Q: Find the third derivative of f(x) = ebx (ebx + e³-bx), where b is a parameter, and calculate its…

A: The third derivative of f(x) = ebx(ebx + e3 - bx) is f'''(x) = 8b3e2bx and f'''(0) = 8b3.…

Q: W 3 + cos(n!) 5 N n=1 (Hint: cos(n!) >-1.)

A: The given series is divergent apply comparison test and p-series testExplanation: