2dt 15. J (E+3)vE +6t-7 arcsec(+c d. arcsin(+c a. 2 Invt2 + 6t -7 +c c. t+3. b. 2 (t2+6t-7)/2 +c 1/2

Q: Starting with the graph of f(x) = 4", write the equation of the graph that results when: (a) f(x) is…

A:

Q: * ifr = 8 sece then the cartesian equation is

A:

Q: Plot the polar curve r(0) = on [0,57].

A: Given that,  r(θ)=θπ on 0,5π

Q: Find the work done by F over the curve in the direction of increasing t. Work means line integral F…

A: To find the work done in both the given cases.

Q: = a and log5 2 = b then log5 216 can be expressed as pa + gb. The value of (nearest whole number)…

A:

Q: The integral dx Vx² – 4 3 -2

A: To evaluate the given integral

Q: Evaluate the limits lim x² + 3x- 4. x→-1 -6 -7 -2

A: We can find the limit as below.

Q: Find an equation of the plane. The plane that passes through the point (−2, 3, 2) and contains the…

A: This question can be solved using the concept of planes in three dimensional geometry.

Q: George was required to repay a loan that matured to $4,550 on August 14, 2015

A:

Q: 6 Find the sum of the arithmetic series, 3n+2. 50 75 100 25 O O O

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Q: The count in a bateria culture was 800 after 10 minutes and 1000 after 35 minutes. Assuming the cou…

A: Given

Q: What is an equation for the cosine graph shown below? 11 -10 6- 8 -7 -5 4 -2 1 -135 -90 -45 45 90…

A:

Q: The graphs of the first and second derivatives of a function y = f (x) are given below. According to…

A: Solve the following

Q: A 17-ft ladder is leaning against a wall. The foot of this ladder is sliding away at the rate of…

A:

Q: Evaluate the integral by making an appropriate change of variables.   7(x + y) ex2 − y2 dA,…

A:

Q: Problem #2: Differentiate f(x) = [(2x3 – 8)(5x² – 3x – 9)]° and solve f'(2). Solution: Reason:

A: The given function,      f(x)=2x3-85x2-3x-93

Q: The technique used to prove that dk =- 3x + 3V3 tan" + C %3D x2 + 3 3 is O Integration by Parts O…

A:

Q: The integral (2

A: Given: ∫124xx2-43dx

Q: If the differential equation ydx+xdy= 0 is being solved, what is the geometrical figure represented…

A: Differential equations

Q: Problem #2: Differentiate f(x) = [(4x* – 5)(3x² – 9x – 5)]° and solve f'(2). %3D Solution: Reason:

A:

Q: A test has multiple choice questions with 3 choices for each answer; only one answer is correct for…

A:

Q: In two or more complete sentences, explain how to find the third term of the expansion of (2x+y)4.

A:

Q: Using the substitution x = sec 0, 2dx Jx?Vx² – 1

A: We can find the solution to the integration as below.

Q: A cylinder (round can) has a circular base and a circular top with vertical sides in between. Let r…

A: Given problem:- A cylinder (round can) has a circular base and a circular top with vertical sides in…

Q: 1 ): The vectors 2 and form a basis the vector space R'. Select one: O True O False

A: Here we state whether it is true or false.

Q: Question 2 - a) [i- :- :]: Explain why the following series (-1)" 1+ n3/2 n=1 is Alternating. ]: Use…

A:

Q: Evaluate the difference quotient fla+ h) - fla) for the function f(x) = 6x. 1

A: Given  f(x) = 6x  We need to find the difference quotient  f(a+h) -f(a)h…

Q: Q2: Determine the type of the two lines (parallel, perpendicular, intersecting, north) and give the…

A: 1  pependicular line because given that both intersect at 90 degree  2 parallel line because both…

Q: Use the Squeeze Theorem to show that lim x* cos = 0. If If(x) < B| for all x in an interval…

A: Squeeze (Sandwich)Theorem The Sandwich Theorem, also known as the squeeze theorem, is used to find…

Q: Evaluate the summation i=1 28 10 30

A:

Q: Find the linearization L(x, y) of the f(x, y) = x°y® at the point (2, 2). L(x, y) = %3D

A:

Q: Evaluate the given integral. [ 2x?sin(4x)dx

A: The given problem is solved below in detail.

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

A:

Q: A population of bacteria is growing according to the equation P(t) = 2000e0.05t. Estimate when the…

A: Given query is to find the Indicated time.

Q: 4 about the point a = 3. (Your answers should include the variable x when appropriate.) Find the…

A:

Q: limn→∞ √n = ∞

A: Given :limn→∞ n

Q: | 4.5x + 3.2y = 7.7 0.8y 0.9x 0.1

A:

Q: dy Find the general solution for: -6y dx Select one: O y=C.e¯z О у y = C. e-6x O y = e-6x O None. O…

A:

Q: f(0) = –3, f' (0) = –15, f"(0) = –3, f"'(0): f(x) = +..

A:

Q: 5. Consider the two curves r= / cos(0) and r= V2 cos(0), -T/2<0ST/2,whose polar plo 0.6 0.4 0.2 0.2…

A: Here, the given curves are: r=cos θ &amp; r=2cos θ

Q: Use substitution to convert the integrals to integrals of rational functions. Then use partial…

A:

Q: Using appropriate trigonometric substitution, dx xV4 - x2 is transformed to 1 S csc 0 de cos e d0 2…

A: Topic = Integration

Q: dx Given dt 1 and y = 6. Find for x2 + y² = 100 dt O A. 3 4 O B. 3 4 3

A:

Q: Solve the system by the method of substitution. (If there is no solution, enter NO SOLUTION.) ** =…

A:

Q: The solution y, of the homogeneous differential equation y() + 36y" = 0 is O None of them O c_1+c_2…

A:

Q: 4- Determine an expression for dy/dx. 3(y-2)3– x= 4x - 6.

A:

Q: 7 If the change of variables u = x-1 is used to evaluate the definite integral f(x) dx, what are the…

A: This question can be solved using the concept of change of limits in definite integrals.

Q: 1 The resulting 8. 6. The graph of y = log, x is horizontally stretched about the y axis by a factor…

A: Given , a graph y=log2x x is horizontally stretched about y axis by factor of 18 we need to find the…

Q: Evaluate the permutation. 5P3 60 15 125

A: We have to evaluate permutation.

Q: Part a: Assume that the height of your cylinder is 4 inches. Consider A as a function of r, so we…

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