a. Determine the point (a, la)) for which f'(a) = a, given that Ax) = -x + 3x-7. b. Write the equation of the tangent to (x) at the point found in part a.

Q: 1 is convergent or 8. 1) Use the Comparison Test to determine whether the series n=2 divergent. Show…

A: We need to find if series is convergent or divergent,

Q: Consider the following. u = 3i + 4j, v = -7i - j (a) Find u · v. -25 u v = 5- V 50 (b) Find the…

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Q: Find the limit algebraically. lim 1 x--4 Select the correct choice below and, if necessary, fill in…

A: The solution is given below

Q: A company produces two types of solar panels per year: x thousand of type A and y thousand of type…

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Q: Differentiate y = -e24x + In(3x – 5). A. 72e24x – 120e24x + 3 y' %D Зх — 5 В. -72e24x + 120e24x + 3…

A: Given query is to find the derivative.

Q: For the number 70260.011000 What is the number of significant digits and what are the significant…

A: Number of  Significant digits = 11

Q: dx 2. To evaluate | by trigonometric substitution, we let (5 – 4x – x - A. x+2= 3tane B. x+2= 3sine…

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Q: Simplify the complex number. Express your answer in a+ bi form and include each step necessary in…

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Q: is a factor of 2 + 5z2 – 5x +1. - O I+1 O 2z +1 O +2 O 2x -1

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Q: x3 (x2 + 1)3 dx

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Q: Find dy for the given values of x and Ax. 5x - 4 y = -;x = 5, Ax= - 0.03 x+2 dy = (Round to three…

A: Given: y=5x-4x+2; x=5;△x=-0.03

Q: Q1/ Integrate the following functions 1. ſ csc(5x) dx 2. dx 3. ſ cos (x) dx 4. S sin (x) dx 5.…

A: As per our guidelines we are supposed to answer?️ only 3 question. Kindly repost other question as…

Q: After substitution is performed, which of the following is equivalent to (4r249)7 dx? 45 8 du u? 13…

A: We have to use the u subsitution method

Q: } Consider the initial-value Question 2 ( problem y" + 4y = 5 sin 3t, y(0) = 0, y(0) = 3. (a) Use…

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Q: 2. The area bound by the curve y = ezr, the y – axis and the line y = 4 is rotated about the line y…

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Q: Q2/ Find the second derivative of the following: 1. 2 Va 2. (x-1)(x2-2x)

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Q: Represent the line segment from P to Q by a vector-valued function. (P corresponds to t = 0. Q…

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Q: is this statement true or false   The probability of any possible value in a discrete in a…

A: Here is the solution.

Q: 2. Calculate the area enclosed by the graph of y = x + 2x? - 5x - 6 = (x + 1)(x – 2)(x + 3)

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Q: メp )の

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Q: dy = f(x, y) = x' + y', y(1) = 5 %3D dx 39- find y(3) value by euler method, take step size; h= 1.…

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Q: Let f(x) = log2(x) and g(x) = cosx. Give the composite fog and go f, and determine their domains.

A: The given functions are: f(x)=log2(x) & g(x)=cos x

Q: Select the correct answer. For which pair of matrices is s A B#BA, OA. A=[}2] B = A = 2 B= A = 2 B=…

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Q: EXERCISES Solve the following differential cquations 9. y(x*y + e*)dx e*dy = 0 x ex Ans. =C

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Q: P1: |x? cos-1 x dx X* cos

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Q: 7) For each set of parametric equations, eliminate the parameter and find a corresponding…

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Q: y cos x+sin y+y 0. Solve the following dx sin x+x cos y+x differntail equation 1.

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Q: 3. Write z = 12.2 - 31 in polar form. Use 3 decimal places.

A: The objective of the question is converting to polar form.

Q: Perform the following operations and express the results in rectangular form: a. (8.21+j4.31) –…

A: Rectangular form

Q: 2.)S csc-³«(cosa)³da

A: Given ∫csc-3 α (cosα)3dαTo evaluate the integral:

Q: P3: | tan3 3x sec 3x dx

A: To evaluate: I=∫tan33x sec63x dx Substitute 3x=u⇒3dx=du⇒dx=du3 then: I=∫tan3u sec6u du3=13∫sec5u…

Q: Find the divergence of the vector field F. F(x, y, z) = In(9x2+ 6y² )i + 54xyj + In (6y? + 5z?)«…

A: To find the divergence of given vector field

Q: 1. Find r(9/2)=? 2. В (3, 2) %3D?

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Q: L,x²(x³ + 8)²dx 19. Use the Fundamental Theorem of Calculus to evaluate:

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Q: Convert the Cartesian equation x² + y² -2x= 0 to a polar equation. x2 + y2 -2x 0= O 2=-2 cos e Or= 2…

A: Given artesian equation,x2+y2-2x=0Put…

Q: Find the curvature of the curve 7 (t) = (2 cos(t), 2 sin(t), t) at the point t = 0 Give your answer…

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Q: a. Determine the derivative of k(x) = (-2x* + 3x - 4)(x" – x- 1). Simplify your answer. b. What is…

A: The detailed solution is given below. Thank you

Q: Exercise 2. Find the following limits 3x +1 1) lim 2x +5 1-3x2 3x +1 2) lim X 2x +5 3) lim x- 2x+5

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Q: Select one: 2s2 - 2s 6 S-3 O None of these 252 2s + 6 3 3s2 - 3s + 6 2 3s2 3s 6 S-2 Which of the…

A: Topic:- function  Note :- as per our guideline if more than one question uploaded than only first…

Q: /2x+1 dx i fx(x* +1)' dx

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Q: 25. æ sec (a²) tan(æ²) dæ | sin? x dx (Hint : cos (2x) 26. 1 27. dx 4- (ӕ — 1)? 1 dx 9x² + 25 28. dx…

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Q: Q5: Find equations for (a) the tangent plane and (b) normal line at the point P, on the given…

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Q: 14. Write the solution set for the general solution. Write the solution set on the interval [0, 2n).…

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Q: dy da =y+ Vx? - y²

A: Given: xdydx=y+x2-y2

Q: The cylindrical coordinates of the point with rectangular coordinates (-V2, -v2, v2) are (v2, , V2).…

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Q: L x² cos 2x³ dx? After substitution is performed, which of the following is equivalent to

A: Given that the integrals  To find the evaluate and choose the correct answer

Q: Solve the triangle. (Do not round until the final answer. Round angles to the nearest degree and…

A: sine and cosine rule

Q: P6: x2 x² – 1

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Q: 13. Eliminate the parameter t, sketch the curve, and indicate the orientation. x=5 sint, y= 5cost,

A: We will square the both equations and then we will add them to eliminate the t

Q: Evaluate the definite integral 9 6x² + 6 dx 35 X o 588.65298705274 3

A: We know, ∫xndx=xn+1n+1+C, C is a constant for any real number n.