Sketch the graph of a function f that is continuous on [1, 5] and has the given properties. absolute maximum at 2, absolute minimum at 5, 4 is a critical number but there is no local maximum or minimum there

Q: a. Determine the Cartesian equation of the plane that has x-, y-, and z-intercepts at 2, -4, and 3…

A: Here we will find all equations,

Q: Let f(x,y) = 8x - 2y + 5. Find the following values of f(x,y) for the given coordinates. (a) f(2,…

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Q: The height (feet) of an object launched in the air t seconds after launch is given by s= - 16t²…

A: see below the answer with explanation

Q: U 3 11 K A Find an equation of the tangent line to the curve at the given point. y = x In(x), (1, 0)…

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Q: Find the average rate of change of the function over the given interval. f(t) = 4t² - 3, [3, 3.1]…

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Q: 8. a. Using the vectors x = (3, 3, 1) and y = (-−1, 2, -3), verify that the following formula is…

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Q: Given ; = -5 cos 0 and r₂ = 5+5 cos 0 Sketch and then set up integral for area bounded by the…

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Q: (x² + y²) dx + (2xy + cosy) What is SN ? δη

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Q: Help with question 11 plz

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Q: Find the coordinates of the vertices of the polygon after the indicated translation to a new…

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Q: 921) Which of the following is an odd function A) cos xsin x 11 sec.x C). DUNK DOOV

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Q: Test the equation below for exactness. If exact, solve. If not, use an integrating factor (find it…

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Q: 1. (3x - 2y + 1) dx + (3x - 2y + 3) dy = 0.

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: Let g(x) be the inverse function to the differentiable function f(x). If f(0) = 1 and f'(0) = 8,…

A: Given g(x) is the inverse function of f(x)

Q: Suppose that f(x) is a function with f(85) = 49 and f'(85)= 3. Estimate f(80). f(80) =

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Q: Evaluate x² + y² 1 x² + y² + 16 in the first octant. JJJ₂₂ dV, where E lies between the spheres x² +…

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Q: Solve for x accurate to three (3) decimal places ex-12=7

A: The given equation is  ex-12 = 7  Solve for x.

Q: its not 1

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Q: 4. · [ (8x − 3) (4x² – 3x) ³ dx x J dx √1-4x² x ·S dx 3 - 5x² 5. 6.

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Q: 7. Evaluate the integral

A: answer is in next step.

Q: S x² √x²+4 dx

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Q: 3 S₁ x ³ exdx

A: Evaluate the definite integral :        ∫01x3exdx

Q: The sum of two positive real numbers x and y is 3. Find an x and y among these such that the product…

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Q: Q3/ solve the differential equation below: 1. 2-3x+2y=0 (Complementary Function) k

A: The given differential equation,       d2ydx2-3dydx+2y=0

Q: 1.ſv 2x - x² dx

A: Let's solve given integral.

Q: Explain why the function f(x)=3x+2/x²+5x+3 has no vertical asymptotes.create a rational function so…

A: Given function has vertical asymptote

Q: . Determine if AABC is a right-angled triangle, given A(1, 6, −2), B(2, 5, 3), and C(5, 3, 2).

A: Find the squares of all the sides of the triangle and then observe them

Q: 1. Find the volume of a solid if the area boun ded by the curve y = In x, the x-axis and the line x…

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Q: Let f(x,y) = 8x - 2y + 5. Find the following values of f(x,y) for the given coordinates. (a) f(2,…

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Q: Let x³ + yª + 8x + 3y = 7. Computeat (2,1)

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Q: Find the area bounded by the curve y = x 2 and y = 2 − x 2

A: To find area bounded by the curves y=x2 and y=2-x2.

Q: Calculate ∞0 1 e -3t √t - dt

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Q: Find the surface area for the object obtained by rotating y=7x+2 about the x-axis over the interval…

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Q: Find a formula for the quadratic function whose graph is shown. y X 15 f(x) = -5 30 20 10 f 5 (5,2)…

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Q: The function f(x) = √√x-2 + √√4-x is. increasing on its natural domain O increasing on (2, 3) and…

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Q: Create a table of value (use 8 values- 4 on the left and 4 on the right) and a calculator to the…

A: topic- limits

Q: C. Find the volume of the solid generated by revolving the area bounded by the given curves about…

A: Let's find volume of solid.

Q: Show that the points form the vertices of the polygon. isosceles triangle:     (4, −4), (5, 2),…

A: Solve the following

Q: 1. 2²₂(3x-4)dx

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

Q: Let g(x) be the inverse function to the differentiable function f(x). If f(0) = 1 and f'(0) = 8,…

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Q: y=ex5

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Q: 7. y - 5y + 7y" - 5y' + 6y = x² + 3x - 5 Ans: y = C₁e³x + C₂e²x + C3 cos x + C₁ sin x + x² + ²x -…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: (d) Any local minimum or local maximum of a function f must occur at a critical point of f. True…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: Use Taylor's Theorem to find an interval [ z, z] where the Maclaurin polynomial p2(x) = 1- 2 1…

A: Given problem  is :

Q: Find the absolute extrema of f on the given closed interval. 1. f(x)= x³ + 3x² - 9x ; [-4,4]

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Q: Find the area under the curve y = 3x 2 from = 1 to x = 2 .

A: We have to find the area of the given curve.

Q: Let g(x) be the inverse function to the differentiable function f(x). If f(0) = 1 and f'(0) = 9,…

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Q: 10. Evaluate cos x sin² x dx

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Q: Given that f(-10) = -0.1 and f(-9.6) = 1.8, approximate f'(-10). f'(-10) ~ ≈ 94

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Q: Find closed Sets A= [2,5), B = {2, 4, 6, 8, 10,--- }, C = {6, 21, 42, 58}

A: We have to find the closed sets.