-10 -5 I(X) 10 5 10 5 10 X

Q: 4. Find the range of the function F(x)=√36-t² dt O [0, 36π] O [0, 18π] O [-6, 6] O [-6, 0]

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Q: 2. Find the limits. limx→-1 sin(x² + 3x + 2) x³ + 1 M

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Q: d the equation of the tangent line to the curve y = 5x cos x at the point (7, e equation of this…

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Q: Use the graph of the function to estimate the local maximum and the local minimum of the function.…

A: We have to use the graph of the function to estimate the local maximum and the local minimum of the…

Q: 5y4+7=x4-3y; x=3, y=-2

A: To find slope of a line tangent to the given curve at a given point. To make a sketch of this…

Q: Find the average value of the given function from x=0 to x=1. Sketch graph of the function, roughly…

A: Average value of a function y=f(x)  from x=a to x=b is given by Aavg=1b-a∫x=ax=bf(x)dxsee below the…

Q: 3. A particle moves along the x-axis with velocity v(t) = t2-1, with t measured in seconds and v(t)…

A: Given velocity v(t)=t2-1 To get the total distance traveled, we have to integrate the velocity…

Q: lad Use Green's theorem to evaluate y² dx + 3xy dy, where c is the boundary of the semi annular…

A: Given Problem:- Use Green's theorem to evaluate ∮cy2dx+3xydy where c is the boundary of the semi…

Q: QUESTION 10 Use cylindrical coordinates to evaluate the integral below. √x² + y²dv, where E is the…

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Q: Evaluate ſ F . n dS if F = (x + y² ™)ī − (2x)j + (2yz)k and $ is the surface of the plane 2x + y +…

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Q: A fast-food restaurant has a cost of production C(x) = 14x + 108 and a revenue function R(x) = 82.…

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Q: 3. State the components of a unit vector that is perpendicular to the vector =(5,2,-1).

A: To state the components of a unit vector that is perpendicular to the below vector v. v=5, 2, −1

Q: 5) Calculate the area of the region between the curves: y=2-x² and y=x²

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Q: Differentiate the following. Do Not Simplify. y=(sin x)(lnx) b) y = (e² + √√cos x) c) y = = a)…

A: To differentiate the following.a y=sin xln xb y=ex+cos x37c y=1-tan x3x3

Q: <X< 6 Submit Question 5 4 3+ 2+ -3 -2 -1 1 2 For the above rational function f(x) = 1 3 Q 17 2x²…

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Q: If z = tan d. 6 b ¹ (²) 2 c. d 2 1+z² 1-z² 1+z² then sin x = 22 1+z² None of the choices

A: To find the value of sin(x) in terms of z.

Q: 1. A rectangle has a perimeter of 14 m. Express the area of the rectangle as a function of the…

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Q: [1/3 Points] f(x) = DETAILS PREVIOUS ANSWERS Find an expression for the function whose graph is the…

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Q: Find the X-intercepts (x,y) and y-intercept (x,y) and the vertical and horizontal asymptotes.…

A: To use the given graph to find the answer of the given question.

Q: lve y' = 14xy – 2x, y(0) = 11 x) =

A: Topic:- application of integration

Q: For the following equation, find Answer: dy da || y = -4x5 8x³ + x² +9x

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Q: Find the exact length of the curve. r(t) = (51, 3cos (1), 3sin (1)), -4≤1≤4 OA. 16√3 OB. 0 OC. 8/26…

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Q: Evaluate the piecewise function at the given valuesof the independent variable. f(x) = { 5x+3 if x<…

A: Given piecewise function is  f(x) = { 5x+3 if x&lt; 0            { 4x+7 if x ≥ 0 We have to find…

Q: What is the slope of the the tangent line to y=1/x^5+−1/x^3 at x=1?

A: Given y=1x5+-1x3 and x=1

Q: 1. Evaluate. a) lim x--2 ³-2x² +12 x² +1 x² -8x+7 b) lim x-7 2. What is the average rate of change…

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Q: Determine the coordinates of the focus and the equation of the directrix then choose the graph of…

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Q: If the vector equation of a line is 7=(3, -5)+t(-2, 3), t€ R. the parametric equations are Ox=3-2t,…

A: Topic:- application of geometry

Q: Let R be the region bounded by the following curves. Find the volume of the solid generated by…

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Q: = { x + 15 X C(x) = if x < 100 if x ≥ 100

A: Topic:- function

Q: Find the arc length of the graph of the function f(x) = ln(cos(x)) ㅠ π [153, 5 Use the tables to…

A: Arc length of y=f(x) on a, b is  L=∫ab1+f'x2dx We have f(x)=lncosx given interval π9,π5

Q: A line passes through points A(-1,-5, 9) and B(8, 5, - 15). A vector equation for the line is 7=(-1,…

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Q: State the domain of the graphed function: -5 -5- 0 -5 -10- 5 10 15

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Q: Find two positive numbers that satisfy the given requirements. The second number is the reciprocal…

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Q: For the function f(x) shown below, determine lim f(x). f(x) = x² - 10 -3 - 2x for for +-←æ x -4

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Q: If f(x) = 2x². -x-2 and g(x) = x + 2, then fog and go f may be expressed as f(g(x)) = ax + 3x +y and…

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Q: + 22/12 =)₁ y x² + y² dx + (ye³ +2²4₁²) dy = 0 =)

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Q: Question 14 (1 point) ✔ Saved Determine the scalar equation of a line with a normal vector passes…

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Q: -(x-a)² - 1, 7. g(x) = tan x (x + b)² + 1, x>7 What must a and b be for the given function to be…

A: Given :

Q: A particle moves along the x-axis so that its position at time 0 ≤ t ≤ 18 is given by x(t), whose…

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Q: −5x – 5, f(x) = 2x² + 2x - 1, x < -1 x ≥ −1

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Q: Find the equation of y, given the derivative and the indicated point on the curve. dy dx = 2x - 1 y…

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Q: 1. The position of a particle moving in the ry plane at time t units is given by the vector equation…

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Q: Which of the following represents a possible equation for a sinusoidal function with an amplitude of…

A: answer is in next step. please give a like!!

Q: For the function y = f(x) = 3x³ – 10: df dx a. Find ƒ'( − 2) b. Find a formula for x = f-1(y).…

A: NOTE- "Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: Given the function y = −2x√/2 - 4x, find dy in any form.

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Q: Solve the differential equation [cos (2y) — 3x²y²] dx + [cos (2y) - 2x sin (2y) - 2x³y] dy - a. sin…

A: Given: cos2y-3x2y2dx+cos2y-2xsin2y-2x3ydy=0

Q: 3 3 3 2 (49) (+91 i- -74+ i n n n integral, that is provide a, b and f(x) in the expression f(x)dx.…

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Q: Calculate S√4-x² dx

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Q: Given the following function, find the values of f (5,2) x = 5 + xln(xy-9) f(x,y) O A. 25 OB. 10 OC.…

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Q: A piece of cardboard measuring 10 inches by 8 inches is formed into an open-top box by cutting…

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