9. Find the equation of the curve whose y" e*. = - cos x + 6x + 4 with horizontal tangent at the point (0,2).

Q: Find all the zeros. Write the answer in exact form. q(x)=x²-₁ -7x+14x-6 If there is more than one…

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Q: Solve the triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. b…

A: We need to solve for the remaining angles and sides of the triangle.

Q: A store finds that its sales revenue changes at a rate given by S'(t) = -30t² + 400t dollars per day…

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Q: (B): If A = 2i +3j - 4k; B = 3i-4j+5k and C=i+j-k, find: (ii) B.C (iii)A. (B+C)and (A + B).C (iv)…

A: Given: A→=2i+3j−4k;B→=3i−4j+5k and C→=i+j−k We know that x1i +y1j+z1k·x2i +y2j+z2k = x1x2+y1y2+z1z2

Q: 7 [[11x + √]dx = [ 8x3 +C

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Q: (g) Determine the minimum or maximum value of the function. (h) Write the domain and range in…

A: The function is c(x)=2x2-12x+17. Then we have to answer the following... The graph of the function…

Q: Using the Fundamental Theorems of Calculus, find the second derivatives of F(x): esin t b. F(x) =…

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Q: Suppose a. ® Г f(x)dx = 36, [ f(x) dx f ' = f(x)dx = 12,

A: The given integral values,    ∫09f(x)dx=36 and ∫79f(x)dx=12

Q: Q5: Find for the following fun dx (1) In(x - y) = xy + y² ;

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

Q: Write a polynomial f(x) that satisfies the given conditions. 2 Polynomial of lowest degree with…

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Q: (B): If A = 2i + 3j-4k; B = 3i-4j+ 5k and C = i + j-k, find: (iv) (3A + 4B). C (1) A.B (U) B.C (iii)…

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Q: The marginal cost for printing a paperback book at a small publishing company is c(p) = $0.012 per…

A: Given data÷ Marginal cost  cp=$0.012 per page  Where p=number of pages

Q: • The orthogonal trajectory of the equation given below is already given. What is the value of "n"?…

A: The given equation x2+3y2=r2

Q: 3+13 -t 5. Consider the vector valued functions x₁(t)= and x₂(t)= t2 -(3) (a)Compute the Wronskian…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Q3/ A. For the following function f(x). Find: i. iii. f(x) = x² + 1 The slope of the f(x) by using…

A: We need to find out the slope using the definition.

Q: Find the derivative of the function. (x-7)(x²+2x) +3 y = O A. OB. dy dx O D. dy dx dy O C. dx dy dx…

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Q: (2) Use a known Maclaurin series to obtain the Maclaurin series for f(x) = sin²x. (Hint: Use sin²…

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Q: 3. 4. S 2t (1²+2) ³ 514 √15 +2 - dt =dt

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Q: lim f(x) = 5 and_lim_f(x)=5, but f(3) does not exist. X-3 X-3* What can you say about lim f(x)? X-3…

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Q: The graph of y = f(x) is shown. Use the graph to answer the question. Find lim x-(-1)- O-2, -7 O-7,…

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Q: (A): solve the following linear equations by Cramer's rule: x + y + 2z = 1 2x-y-z = 0 x +2y-z = 4

A: Calculation of determinant is the key requirement of this problem.

Q: Q5: Find d for the following functions: dx (1) In(x - y) = xy + y³ ; (2) y = tan³ √cot(7x) ;

A: We can solve the answers as below by finding the derivatives.

Q: There are 2 workers in one of companies, the company has determine the normal work hours by 8 hours…

A: This includes building costs, property taxes, utilities, payroll taxes, benefits, insurance,…

Q: a) Find the area of the triangle determined by the given point P₁(1, 2, 4), P2(1,-1, 3), P(-1,-1,2)

A: As per Bartleby guideline, only the first question has been answered. Please repost mentioning the…

Q: Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the marginal…

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Q: Q5: Find dx for the following functions: (1) xcinh 2x coch 2x (3) y = e* sin² x In√x

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Q: (B): If A = 2i + 3j - 4k; B = 3i - 4j + 5k and C = i + j - k, find: (ii)B.C (iii)A. (B+C)and (A+B).C…

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Q: Use the figure below to find the exact value of the trigonometric function of angle A. sin(A) 00 7 A

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Q: Q1: Answer two only (A): Solve the following linear equations by Cramer's rule: x+y+2z=1 2x-y-z=0 x…

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Q: |-*^= 39. What is the length of the curve y = √x- between x = 0 and x = 2?

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Q: Use L'Hopital's to determine the limit. lim Oo O1 ○ -1 enx ~|-1 as x approaches co

A: This question can be solved using the concept of L' Hopital's Rule and derivatives.

Q: Q2: Solve the following f (1) 7x² +14+15 (x²+3)(x+7) dx :

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

Q: Find a differential equation whose general solution is 8t y = c₁est + c₂e-2t. = 0

A: We can find the differential equation as below.

Q: What is 2x2

A: We can answer the question as below.

Q: 2) × 2+4i 3+1 and 2=3-1 2+i 2 prove that x² + 3xy + y² = 6 if it was

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Q: ind the angle between the vectors u=, v=

A: Given that u=1,1, v=-5,3To find :Angle between two vectorsSolution…

Q: Q3 :(A): By using " L' Hopital rules "; Find the limits of : 1 (1) limx-o[: 1-cos x 2 sin²x A 1.

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Q: Use Taylor's Inequality to estimate the accuracy of the approximation f(x) ≈ T₁(x) when x lies in…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. a)…

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Q: Find the volume of the solid generated by revolving the region bounded by the curves y = sin x + 1…

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Q: = Find the area of the region bounded by the curves y on the interval [0, 1] as seen in the shaded…

A: This question can be solved using the concept of area bounded by curves.

Q: Calculate the double integral. 16 9(1+x²) 1+ y² dA, R = {(x, y) | 0 ≤ x ≤ 5,0 ≤ y ≤ 1}

A: Please see the below picture for detailed solution.

Q: Suppose S. f(x) dx = 36, [₁² f(x)dx = 12, ²9(1 1. (2f(x) + +12g(x) — 4h(x)) dr g(x)dx = 24, and h(x)…

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Q: Q5: Find for the following functions: TTTTTT³ : (2) y tan³√cot(7x) : = (4) y = x sinh 2x-cosh 2x (3)…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Problem 8. [10 pts] For each of the following answer True or False. If it is false, explain it. (a)…

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Q: at f" si sin rdr = 2, find the average value of the sine function on the interval [0.7]. Also, find…

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Q: Find the limit as x approaches 3 for x²-3x 2x²-5x-3

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Q: 2. Evaluate the following: t² dt a.

A: To solve: ∫−11 t2t2−62dt Let I = ∫−11 t2t2−62dt since,  t2t2−62 is an even function  Therefore, I =…

Q: Approximate the definite integral using the Trapezoidal Rule and Simpson's Rule with n = 4. Compare…

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Q: nd the radius of convergence, R, of the series. ∞ (-1)^x" √n n = 1 nd the interval, I, of…

A: We have to find the radius of convergence