Deteremine the area between the curves y= sin(x), y= x^2 + 4, x= -1, and x=2.

Q: Solve the given initial-value problem. The DE is a Bernoulli equation. x2 dy dx - 2xy = 6yª, y(1) =…

A: Use substitution  z = 1/y3  Then it is converted into exact differetial  equation.

Q: let f(x)= 3x² -1, find [ (f(x+h)-f(x))/h] 6x+3h O6x² +6x -2 +3h none of these answers 6x-3h

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Q: g(x) = x5, find g'(x) O (3/5)x2/3 O (5/3)x-2/3 O none of these O (5/3)x2/3 RANDER

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Q: The graphs of f and g are given. Use them to evaluate each limit, if it exists. (If an answer does…

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Q: UPVOTE WILL BE GIVEN. PLEASE WRITE THE COMPLETE SOLUTIONS LEGIBLY. SOLVE IN 2 DECIMAL PLACES. BOX…

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Q: Remainder Theorem 2. Determine the remainder when the function y = 2x5-7x4-13x3 - 5x² - 27x + 10 is…

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Q: f(x, y) = √4x² + 2y² fz(-4,-5) =

A: To solve the following problem

Q: the full answer wasn't shown in the solution box, please provide the rest

A: any differentiable function must be continuous at every point in its domain so  a.) If a function is…

Q: Suppose A is a 2x3 matrix, B is a 3x3 matrix, and C is a 3x2 matrix. Select all of the following…

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Q: Evaluate the following integral. 5 dx secx-1 Simplify the integrand so that the denominator consists…

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Q: Is the following objective function valid for a linear programming formulation? Maximize 3X + 5Y +…

A: Given:   Maximize: 3X + 5Y + 2Z³

Q: Use the General Power Rule to find the derivative of y = (x³ + 4) y' = ID

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Q: Find the function.

A: Given query is to find find the transformed function.

Q: Find fx and f, and evaluate each at the given point. f(x, y) = exy², (In 4, 2) fx(x, y) = fy(x, y) =…

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Q: . Find the absolute min and absolute max of h(s) = 2s³ + 3s² – 12s for −3 < s < 2.

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Q: Express the function in the form f o g. (Use non-identity functions for f and g.) u(t) = √✓tan(t) {0…

A: given  u(t)=tant

Q: The weekly sales of Honolulu Red Oranges is given by q = 1155 − 21p. where q is the number of…

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Q: y = 5x² y = 0 x = 2 (a) the y-axis (b) the x-axis

A: Given  a.  about y axis

Q: etermine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: Given : The given differential is exact

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: Use inverse matrices to find the solution of the system of equations. X + y + 2z = 7 2x + y + 2x +…

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Q: In this problem, y=c₁e* + c₂e* is a two-parameter family of solutions of the second-order DE y" - y…

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Q: 3. The production manager of a radio company learned about the kp rule. He used past inspection data…

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Q: Given the function g(r) = (r − 6)(−11r + 4)º(r — 7)³, - its roots are and their multiplicities are

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Q: The volume V of a right circular cylinder is given by V = r² h, where r is the radius and h is the…

A: Topic = Application of derivative

Q: please help me solve follow-up question from above than

A: As per our guidelines we are allowed to answer only one question. Kindly repost the other question…

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) J-…

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Q: 2) b) Consider the same region bounded by y = √√x, the x-axis, and the line x = 1 as shown. Draw a…

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Q: Find fx and fy, and evaluate each at the given point. f(x, y) = exy², (In 8, 2) fx(x, y) = fy(x, y)…

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Q: Determine the limit and lim (x²-1) X-1 2 lin fixtal (२) X90 Lim √x³-1 X41 graph the follow

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Q: Evaluate the integral. (Use C for the constant of x² / (15+ 15 + 6x 1 3/2 dx 9x2)3/2

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Q: A projectile is fired from a cliff 500 feet above the water at an inclination of 45° to the…

A: The height of the projectile above water level is given by hx=-32x22602+x+500. We have to find the…

Q: Find the slope at the point (1, 1)  for the curve defined implicitly by ln y = x2 – y2.    a m = 2…

A: Given query is to find the slope of the function.

Q: For y = 4x + 12x² - 12x, determine concavity and the x-values where points of inflection occur. Do…

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Q: sum of an infinite series is given by S= 25/(1+3/4) What is the common ratio of this series? A. 25…

A: Given query is to find common ratio.

Q: The owner of a video store has determined that the cost C, in dollars, of operating the store is…

A: The cost function give in the question is C(x)=2x2-26x+620

Q: 2. Consider the function f: R → [-1, 1] defined by f(x) = sin(x) and the function g: [-π/2, π/2] →…

A: A. The function f(x) = sin(x) on the domain [-1, 1] is not injective because it takes on the same…

Q: find az auf d= at (u, v) = (1, -2) ди aud 9 =√x+ 3 tan u ? วง Z = ln (9) Soly

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Q: This question has several parts that must be completed sequentially. If you skip a part of the…

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Q: Given f(x, y) = sin(x + y) where x = s² s²t5, y = 2s 5t. Find f(x(s, t), y(s, t)) = ft(x(s, t), y(s,…

A: To solve the partial derivatives w.r.t s and t

Q: Please help solve the follow-up question from the above question number 3. if possible then #4,5,…

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Q: Find the x-value at which f is discontinuous and determine whether f is continuous from the right,…

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Q: Find the gradient and maximum value at the given. point: f(x₁y) = Sy² at (4,5) X

A: Given query is to find gradient and the maximum value at the given point.

Q: What is the amplitude and phase shift of the equation (1)=0.3cos31+0.2sin3r? O O O A= O A= A= √13 10…

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Q: Evaluate the indefinite integral. 7 [x²e dx 28 + C

A: Given query is to find the integral.

Q: let f(x)= 3x² -1, find [ (f(x+h)-f(x) ) /h] O 6x+3h O 6x² +6x-2 +3h O none of these answers O6x-3h

A: See the details solution in below

Q: 10. g(x)= x² +5, 10, 1+x³, x 2; x = 2.

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Q: 0 -00 3 3 1 - 4x dx

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

Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

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Q: 17. S₁- 1 x² + x dx

A: To find integral.