Consider the function f(t) = 6 and real number a = - 4. X a. Find and graph the area function A(x) = f(t) dt for f. S₁ a b. Find A'(x) and verify that A'(x) = f(x). O A. 50 B. ... OC. 50 Ay a D. 50 A(x) = area Ау y = f(t) t

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: Hallar a de modo que h sea continua para todo ax²-x, x≤-1 ax - 5, x>-1 h(x) =m Envie sus comput X…

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Q: Solve the initial value problem: y(x) = 0. dy da + 3y = 7, y(0) = 0

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Q: Find the average rate of change for the function over the given interval. y = ex between x = -2 and…

A: topic- average rate of change of function over interval Note: As per bartleby guidelines,we are…

Q: I wrote the same answer and still got it wrong, why did I get it wrong?

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Q: Answer the following questions for the function defined on the interval [-5,7). a.) f(x) is concave…

A: Use derivative concept

Q: (14 Find the derivative of the function 7 (^ Y = x²+3 15 x²-3

A: Find the derivative of the function  y= [(x2+3)/(x2-3)]5

Q: The rate of growth of the population of a city is predicted to be the following, where p is the…

A: topic - differential equation

Q: The distance from the ground of a person riding on a Ferris wheel can be modeled by the equation d =…

A: Follow the procedure given below.

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A: Given: the triangle ABC in which there is 90 degree angle at A      Use: sin(θ)=…

Q: 4. y = 2x + 2 - 2x² + x + 6

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Q: Let D be the planar region bounded by y = 0, y = x², and x = 1. The integral ff cos(2² +1²) dA…

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Q: What is the arc length of the curve of x5 y = + 10 1 6x3 from x=2 to x = 5?

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Q: (d²4)(d - 2)y=0

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Q: Determine whether the series is absolutely convergent, conditionally convergent, or sin(8n) Σ 47 n =…

A: We will use Ratio-Test to find convergence

Q: S 4x+1 4x² + 2x + 1 dx In 14x² + 2x +1| + C Option 1 In 14x² + 2x + 1] + C 2 In 1 4x² + 2x +11+ C…

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Q: Simplify the following with out 1) -5, 3+1 using the denominator

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Q: Find the radius of convergence R of the series. Σ 4²(x + 4)" n = 1 R Find the interval of…

A: To find the Radius of convergence and interval of convergence of the given series.

Q: Find fx and f, and evaluate each at the given point. an(1), (6, -6) f(x, y) = arctan fx(x, y) = (No…

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Q: 10. Find the particular solution of √√x + √√yy' =0 where y(1) = 9

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Q: given u = and v= find u*v

A: To find out the dot product u*v

Q: What is the general solution to y² tan(x) dy = sin(x) dx o y = √3 sin(x) + C o y = -√√3 cos(x) + C o…

A: Here we have to solve the differential equation.

Q: What is the exact value of csc > O 2√5 3 IN O-2 14 (¹4) ²

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Here, the given curves are: y=1+2x, y=2+x2

Q: w = sqrt(25-4x2- 4y2) ,  x=r cos(theta) ,  y=r sin(theta) (b) Find del w / del r and del w / del ?…

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Q: Find the definite integral that will compute for the area of the region bounded by y = ex, y = 0, x…

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Q: Set up, but DO NOT SOLVE, an integral that can be used to find the volume of the solid obtained by…

A: Solution is given below:

Q: The region is bounded by the curves of y = x² and x = y². Find the integral in line y = -1. Use…

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Q: (b) pre every x + 2 if x≤2 2 F(x) = ) + x² = (x +7 if x>2 - CX pie where I on 5) Sketch the function…

A: The Solution is given below

Q: Find the partial derivative fx for the function f(x,y)=√16x+y³ |f₂(x, y) = O f.(x,y)= f₂(x, y) = 1…

A: We have to find derivative

Q: x² - 2x x3 3x² - - dx -In 1x³ 3x² 1 + C Option 1 Option 3 - -In 1x³ 3x² 1 + C In 1x³ 3x²1+ C Option…

A: SOLUTION-

Q: Determine whether the geometric series is convergent or divergent. 27 16 9 4+3 + + 4 convergent…

A: By ratio test we first check the series is convergent or divergent Then, we find the sum of…

Q: multiple of a and c: =b/(n^3) c = b/(1 + n^2) S 1 du au²+bu+c

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Q: What is the equation of the curve that passes through the point (1, 3) and has a slope of 2 x+3 O 9…

A: Here we have to write the equation of the curve that passes through the point (1,3) and has a slope…

Q: Find the value of Select one: 26 29 1 None of these. 2 f(a+3) (a-3) where f(x)=2*

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 4. Solve for 1 [(ax)²-b²]³/2 J dx.

A: See this solution in below.

Q: A chemical reagent is introduced into a bacterial population, and t hours later the number of…

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Q: What is the equation of the sphere whose center is at (0, -3, 8) and with a radius of 5? Select the

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Q: 6. Find complementary function and particular integral of the following differential equation: (D- d…

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Q: The graph of the *derivative* of F is given below. 0 -1 1 2 F'(x) Given that F(0) = -4, find F(6). 3…

A: Find function f by integrating given function and then eliminate value of constants

Q: find a set of parametric equations of the line through (2,8,3) and (11,20,21)

A: The line through the points (2,8,3) and (11,20,21)

Q: Express the following as a linear combination of u =(3, 1, 6), v = (1, -1, 5) and w = (4, 2, 4).…

A: To write down the vectors into the linear combination of the given vector.

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

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Q: S." (inx+4)" x dx

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Q: Find the critical points of the given function. a) f(x) = √2²-4 b) f(x) = 3x + 21-1

A: To find the critical points of the given functions.

Q: Find the total differential. z = x cos(y) - y cos(x) dz = (No Response)

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Q: • You will not receive credit if you submit your assignment late. P 1. ( Find the center, foci, and…

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Q: Calculate approximations of tan(π/4-0.1) by using Taylor polynomials P₁(x), P2(x), P3(x). Use c=π/4.…

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Q: Suppose that f'(x) = (x − 1)³x² x + 3 Determine the interval(s) on which y = f(x) is decreasing.

A: To find out the intervals on which the function is decreasing.

Q: Use a sum or difference identity to find the exact value of the expression. 7π 12 sin

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