Find the derivative of f(x) = 7. A. 7 B. 0 What is the derivative of In(x)? A. xin(x) B. 1/x C. 7x C. ex D. 14 D. In(x+1)

Q: A 200-volt electromotive force is applied to an RC-series circuit in which the resistance is 1000…

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Q: ind the indicated function and write its domain 8) p(x) = x² + 6x, q(x)=√√1-x, (x) = ?

A: We have to determine domain

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

Q: 34five X 2five

A: Follow the procedure given below.

Q: Use any method to determine whether the series converges or diverges. (k!) 8 (8k)! k=0 O The series…

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Q: The value of integral [(cos(4x)+cos(8x)) dx

A: We have to find out integration

Q: 14. The Integral:√4-3x² a. cos²0.de dx, can be transformed into : b. 2f cose.de c. 2 f tano.de d. 4…

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Q: Below is the graph of y=e*. Transform it to make the graph of y=-e* +5. Give the domain and range of…

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Q: 3x 4) 4. S-001+ 6x dx = 1+e6x a. Diverges b. converges to TL 8 c. converges to It d. converges to TL…

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Q: In the figure, the equation of the solid parabola is y=x²-4 and the equation of the dashed line is y…

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Q: (6) Using suitable transformations, evaluate closed region in the first octant bounded by the…

A: We have to solve given Questions.

Q: Determine the area of the region bounded by the line y = 8x, y -axis and y=10. a. 25 sq. units b.…

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Q: 5a) Which of the following vectors are unit vectors? Justify your answers. *-[243] b) Are these…

A: A vector that has a magnitude of 1 is called unit vector. For a given vector v→= x,y,z magnitude is,…

Q: * - 6x 7e لا 87 لحملاملا

A: We need to solve D.E.

Q: Given the function f(x) = 3x - 2, find and simplify the following values: f(a) = f(a+h) = =…

A: Given,  f(x)=3x-2

Q: 8. Find the length of the curve r(t) = from t = 1 tot = 5. 9. Find the curvature of the curve r(t)…

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Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = 7 sin(x) + 7 cos(x),…

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Q: Graph the rational function. -5x-15 f(x)= x²+2x-15 Start by drawing the vertical and horizontal…

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Q: Choose the correct letter that corresponds to the exact answer. 1. Find the derivative of f(x) =…

A: Topic = Derivative 1) C 2) B 3) D

Q: . Solve for and simplify the result. dy dr y = (3x-2)5 (2²+5)6

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Q: A rectangular zone measuring 12 miles by 16 miles contains five buildings. What is the maximum…

A: Concept: We have a rectangular zone that measures 16miles and 12 miles Let the five buildings in the…

Q: For each function, determine whether it is a polynomial function. Function (a) v(x)=3x² +0.6x4 (b)…

A: polynomial can have constants (like 4), variables (like x or y) and exponents (like the 2 in y2),…

Q: 5.) (ya+yx) dx -x ² dy = 0 ny Simplier) + xbx = vbe+bv=xb. Y = VX keta dy=vdx + xdvo (v²x²+xx²) dx…

A: We want to solve the given homogeneous differential equation.

Q: Provide your answer below: Domain in interval notation is Range in interval notation is

A: This is a problem related to domain and range of the function. Based on the general formula and…

Q: Consider the function below. ex f(x): 8 + ex (a) Find the vertical asymptote(s). (Enter your answers…

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Q: If ā= 3x - 5y and b = -2x+9ỹ, write the vector 5ã-85 in terms of x and y

A: Given vector are a→=3x→-5y→   and b→=-2x→+9y→. We have to find the vector 5a→-8b→. Now, 5a→=53x→-5y→…

Q: Q8. Find all the first and second order partial derivatives of the function f(x, y) = x sin y + y…

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Q: (a) Given functions f(x) = 3x+2 and g(x) = x³ - 1, find fog and the inverse of fog. 4. (b) Use the…

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the…

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

A: Here we have to check the convergence of given sequence

Q: %VII. १:०. By using the differential operator D and it's inverse, solve this equation: y"+y=sin(x)

A: The objective of the question is determine the "yc".

Q: (3, 2, a) Calculate the magnitude of b. b) Determine whether a and bare perpendicular. c) Find the…

A: Note: as per guidelines we support only three subparts of the questions. Kindly repost next…

Q: 4) The area under the curve defined by the positive function f (x) on the interval [2, 6] is known…

A: We are allow to solve first question only Thank you

Q: Q6) Find the Area bounded by the curves y = √x and x = 2y-y² ,with sketch.

A: First we find the limits of integration.

Q: Find the nth Maclaurin 3x - 5 f(x) = x + 1 P4(x) = polynomial for the function. n = 4

A: Given function f(x) =3x-5x+1

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Q: The value of the following limit Lim (cos(x)) cou(x) is: A4

A: This question can be solved using the concept of limits.

Q: Use Newton's method to approximate a root of the equation 3x² + 7x² + 2 = 0 as follows. 1 Let x₁ = 3…

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Q: c) sketch its graph

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Q: Evaluate exactly lim (1 + sinx)²cotx x→0

A: This question is indeterminate form of 1infinity and solved using L Hospital rule.

Q: If F = (x²)i + (2x²y)-(3-2)k find div f curl f at (1,-1, 1).

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: The doubling period of a bacterial population is 10 minutes. At time t = 80 minutes, the bacterial…

A: Given: The doubling period of a bacterial population is 10 minutes. At time t =80 minutes, the…

Q: 3) If = 11, ||= 17, and the angle between and is 50°. Find 12+ and its direction. If necessary,…

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Q: Graph all vertical and horizontal asymptotes of the rational function. f(x)= x²+2x-3 2x² +3

A: I have appended the formula used in the solution part of the question

Q: Solve the initial-value problem y"+5y'+6y=0, y(0)=2, y'(0)=3

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Q: Q2. Find the angle between the vectors and .

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Q: Use the Table of Integrals to evaluate the integral. Show ALL work. S 11x³√4x²x¹ dx

A: Follow the procedure given below.

Q: Find t for the following terminal points, 0 ≤ t < 2π (a) P(0, 1), = √2 2 (b) P ( - 1/², 1/²³). 1 = t…

A: Let's find t for the given  terminal points.

Q: (iii) Find the directional derivative of f at the given point in the direction of v. f(x, y, z) =…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Given f(x) = = Domain: 1 x + 2 and g(x) = 6 X - 4' find the domain of f(g(x))

A: We have to find the domain

Q: The growth rate of a town's population after t years is P'(t) = 420 t². If the town's current…

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