X- Sin Find d2y/dx2 without eliminating the parameter. 16) x = 1 - 10 sin t, y = 1 + 9 cos t, t n7 -(0 Cost 业业

Q: If f(x) dx = 2 and f(x) dx = 7 then f(x) dx equals a -4 b. 4 -5 O O O

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Q: Find the most general antiderivative or indefinite integral. Use a capital letter C to denote an…

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Q: Partially correct. Wrongg on part A.

A: Apologies for the inconvenience. Correct solution for #a is given below:   The given vector is:…

Q: Given that f(m) = a"h(x) h(- 1) = 4 h'(-1) = 7 Calculate f'(- 1).

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Q: Determine the area bounded by

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Q: Find the derivative of the function Y = r5z

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

Q: Find the radius of convergence, R, of the series. (x + 5)" 5n In(n) n = 2 R = 5 Find the interval,…

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Q: Let u=sinx and the integrand will lead to integration by partial fraction

A: use substitution method for solving the  integral

Q: Find the derivative of the function y = (tan '(z) ). ช่ ||

A: To find the derivative of  y=(tan-1(x))23

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Q: . What is the largest area of a rectangle that could be inscribed in a semi circle having a radius…

A: We have to find largest area of rectangle that can be inscribed in a semicircle having a radius of…

Q: Use implicit differentiation to find y′ and then evaluate y′ at ​(−3​,3​).   4xy+y+33=0       Part 1…

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Q: Given the following acceleration function of an object moving along a line, find the position…

A: We can find the position function as below

Q: Use the table below to fill in the missing values. f(x) 1 2 8 3 3 4 9. 4 6 7 7 8 6 9 f(5) = || if…

A: We have to find missing values

Q: Question 21 Let us calculate uie area of the closed region bounded by y - 4y -x and y=x+4. The first…

A: The region bounded by the given curves is:

Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x³ - y, P(6,…

A: First we find unit vector of v.

Q: х—1 dx c4 –1

A: Basic integration is done.

Q: The graph of 3 (x+y) = 25 (x -y²), shown in the figure, is a lemniscate of Bernoulli. Find the…

A: Given query is to find equation ifbthe tangent at given point.

Q: Y = 1 - x², y = 2 + 2x, and y = 2– 2x

A: Let's find.

Q: Show that f2x² dx = J; 2x² dx + [° 2x° dx + f° 2x° dx %3D

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Q: Evaluate the definite integral: 7/4 1+5 cos2 (t) dt cos? (t)

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Q: Use the Ratio Test to determine the radius of convergence of Σ n=1 Vn - 11" x" Then determine…

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Q: d) L{e f, sin dr}

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Q: Use the graph of the polynomial function f(x) (a) to solve f(x) = 0, and (b) find the factorization…

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

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Q: Let f(r) = 2.4x – 5.4x. Use the difference quotient and h = 0.001 to estimate the slope of the…

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Q: I cannot understand the format of your answer. Please answer in a different form that's easy to…

A: Apologies for the inconvenience. If you do not see the equations in the correct format, please try…

Q: Find an equation of the inverse relation. x°y= - 7 Choose the correct equation below. O A. x'y=7 O…

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Q: Show that 2x° dx = [; 2r° dx + f zr* dx + [,2x° dx %3D

A: Given that,    ∫142x2dx=∫122x2dx+∫232x2dx+∫342x2dx

Q: 4ay = x2, and y = x + 3a

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Q: 2. Use disk or washer methods. Find the volume of solids enclosed by y -2 = (x- 2)* and x- 2 = (y-…

A: Given: y-2=x-22⇒y=x-22+2x-2=y-22⇒y=x-2+2 Formulas used: Using washer or disc method, The volume of…

Q: Consider the following. u = 6i - j - k, v = -i + 4j + 3k (a) Find the projection of u onto v. (b)…

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Q: Determine the Taylor polynomial of degree 3 for the solution to the initial value problem 1 y' x + y…

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Q: L( -x² + 2x² – 1)dx

A: To give the corresponding indefinite integral. To show the complete solution. ∫-22x5-x3+2x2-1 dx

Q: Question 14 (2) + h(x)]dr 8 1.5 -2/6 -7 -6 Blank 1:

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Q: Match the graph to one of the polar equations. 3) -5 4 -3-2 1 2/3 4 5 1 -4+ 1.

A: This is aproblem related to polar equation calculation. We will assume, x=rsintheta and y=rcostheta

Q: The graph of x +y = 100 is a circle having center at the origin and radius 10. a. Write the equation…

A: The graph of the circle x2+y2=100 having center at the origin and radius 10

Q: Find the most general antiderivative or indefinite integral. Use a capital letter C to denote an…

A: ∫ dx/(1-x2)sin-x lets substitute u = sin-x du/dx =1/(1-x2) du = dx/(1-x2)  ∫ du/u = lnu + C put u =…

Q: x – 2 Let g(x) = x + 3 (a) Find the third degree Maclaurin polynomial of g.

A: Solution: So what we need to do to get the desired polynomial is to calculate the derivatives,…

Q: 1. f(x) = tan(2x) - 5

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Q: Find the interval of convergence. (x + 5)" Σ (n In(n))² n=2

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Q: Prove by contrapositive. if x and y are integers such that x > 1, and x divides y, then x / (y +1)

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Q: Solve the exponential equation for t. Round your answer to three decimal places if necessary.…

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Q: Find the absolute maximum and absolute minimum values of the function f(t) = t – VE on the interval…

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Q: a. Find the open interval(s) on which the function is increasing and decreasing. b. Identify the…

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Q: Evaluate: (20t3 – 12t? + 7)dt

A: ∫03 (20t3 - 12t2 +7 )dt here we use rule of integration xndx = xn+1/(n+1) [20t4/4 -12t3/3 +7t]03…

Q: The integral in this exercise converges. Evaluate the integral without using a table. 14 dx V196 -…

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Q: of 4 Identify the true statements about the matrices 1 0. 3 1 42 2 and B = 1 1 3 1 2 3 4 AB = BA 8…

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Q: For the function f, use composition of functions to show that f 1 is as given. 6. 7x-7 f(x) = =x+ 1,…

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Q: 6 Time Taken: Mins Secs The effectiveness of a certain medical injection is modeled by E(t) =…

A: We have to find the time when reading become sufficient and when reading become too low..