7y" - 18y %D

Q: Find the gradient of the function at the given point. w = x tan(y + z), (5, 13, –10) Vw(5, 13, -10)…

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Q: The sum of two numbers is 8. The product of the first number and the square of the second number is…

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Q: Solve for t. log 6 t= 2

A: Given query is to find the value of t.

Q: uantity of cookies sold when the price per cookie, in cents, is x. Use this information to answer…

A: Since we are given with the multiple number subpart answered according to the guidelines

Q: Find the maximum value of the function f(x) =x² - 9x2 + 15x-5. Answer

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Q: Find the dimensions of a rectangle with area 216 m2 whose perimeter is as small as possible. (If…

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Q: A 400-lb cable is 250 feet long and hangs vertically from the top of a building. How much work is…

A: Work = Force × displacement

Q: |(sinx/cos2x)dx = sec x + C %3D Select one; O True O False 16x e2^3+1 dx = 3e3+1 + C Select one…

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Q: Consider the function f(x) = x2 - 9 (a) Find the domain of f. (Enter your answer using interval…

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Q: Given f(x, y) = 6x?y then the total differential df = %3D 12аy dx + 6x? dy O 2xy dx + x² dy O None…

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Q: Sdx/(1-2x) = 1/2 In[1-2x + C Select one: O True O False S(8x + 2x) dx = 2x4 +x2 Select one: O True O…

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Q: Differentiate. 12 f(x) = 17 f'(x) =|

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Q: Find the centroid of the solid generated by revolving the region about the indicated axis the area…

A: There is more than 1 question, as per the Q&A guidelines, We are answering the 1st question. If…

Q: Find the equation of the tangent line and the normal line of the following curves at the given point…

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Q: Solve the initial value problem. d?r 2 dr = 5, r(1) = 4 dt2 dt t=3

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Q: dx x* +3

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Q: Exact ODE y'sin2nx-nycos 2rx

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Q: Suppose that enrolment in CLSU has been increasing over the years since year 2014 according to the…

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Q: Find the maximum value of the function f(x) = x3 - 9x2 + 15x - 5.

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Q: Find the gradient of the function at the given point. f(x, y) = 2x + 3y2 + 2, (3, 5) Vf(3, 5) =

A: Given: fx,y=2x+3y2+2 ; Px,y=3,5   As we know that; The expression for the gradient vector.…

Q: A company has identified that the revenue R for a particular product is given by the function f(x) =…

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Q: cos³x dx sin*x

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Q: | cos'x cot x dx 3.

A: To integrate the given.

Q: d the sum of the critical numbers of f(x) = 3x4-4x3 +2. %3D ISwer.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: A student throws a ball upward from a height of 48 feet, initially at 32 ft/sec. The function that…

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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (2, –3)…

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Q: 1. The Fibonacci sequence is given by the recurrence relation a, = a,-1 + a,-2; a, = 0, a, =1. Write…

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Q: Find the derivative with respect to x if f(x) = e -14x The derivative with respect to x if f(x) =…

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Q: Given f(a) = 1- 홀 (3 + 4a) + 용(3+ 4z)2 - 꿈 (3+ 42)3 then f'(x) = 27 (3 + 4x) 8. 흥(3+ 4z) + (3+ 4z)2…

A: topic - derivative of a function

Q: Consider the solid obtained by rotating the region bounded by the given curves about the x-axis. y =…

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Q: A 400-lb cable is 250 feet long and hangs vertically from the top of a building. How much work is…

A: A 400-lb cable is 250 feet long and hangs vertically from the top of a building. ρ=mass per unit…

Q: [csc2e cot 6i – 5 cot 6 de

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Q: (Rounded to the nearest hundredth) Use the cylindrical shell method to calculate the volume of the…

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Q: 11x +625 The average cost for a company to produce x units of a product is given by the function…

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Q: Learning Task 3: Identify whether the given graph illustrates an extreme value theorem or not.…

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Q: Suppose the position of a particle is given by parametric equations x(t) = 2t2-1 and y(t) = 3t3. (a)…

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Q: Consider the function f(x) whose second derivative is f''(x)=8x+8sin(x). If f(0)=4 and f'(0)=4, what…

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Q: Consider the function y = 3(square root of x) + 8. What is the value of C in the interval [4, 9]…

A: First we will find fave

Q: s e8*(x³ + x²)sec² (x*e3* + 1) dx

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Q: An angle's initial ray points in the 3-o'clock direction and its terminal ray rotates CCW. Let θ…

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

Q: Evaluate the integral where D is the region bounded by y = x, y = 2, and r = 0. Hint: One order is…

A: We will solve this question by changing the order of Integration.

Q: Simplify -3j 1234567+ 4j98765432 – 5j-32198765 + 6. What is the imaginary part of the result? O 2

A: Given: -3j1234567+4j98765432-5j-32198765+6

Q: - Find the Taylor series expansion for the given function about x =g. :- Using the Taylor series…

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Q: Find the limit. lim Vr+3

A: Question 1,Given,            limx→6x+3

Q: Which of the following is not equivalent to tan"? 2 1- cos 0 csc 0 + cot 0 sin 8 O Option 1 O Option…

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Q: Find the general solution of (x+2y– 4)dx-(2x+5-y)dy=0

A: The given differential equation is of Reducible Homogeneous form . We solve it using following way .

Q: The sum of two numbers is 8. The product of the first number and the square of the second number is…

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Q: – ydy (у+ 1) — у+1

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Q: What is the relative minimum value of the function f(x, y) = x° - 3xy + y – 2? Note: If the answer…

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