422+8z-18 dz 3. S

Q: Evaluate the difference quotient for 7x+1. Az) - f(x) = 2 7/2 7 O 1/2 O O

A: Here we have to find the quotient difference of a function.

Q: e3 1 - Find lim

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the…

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Q: 4. Compute (a) 4 S"(3t2 – 4)z dx - dx 'x (b) x1+t² 4 dt dx -x 1+t2 d

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Q: csc(cot r) + cos? x d.x sin? x

A: Use the method of substitution and solve the integration.

Q: Question 2 [ a) [ :Explain why the following series (-1)" 1 + n5/2 n= is Alternating. b) !n. J: Use…

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Q: B. Find the value of x for which Inx + (Inx)2 + (Inx)+ (Inx)* + = 9

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Q: Find the integral of f(3x2 + 4x + 1)*(3x + 2)

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Q: The graphs of the first and second derivatives of a function y = f(x) are given below. According to…

A: The graph of the first and second derivative of the function y = fx is The statement is f is…

Q: Determine the linear approximation of f(x) = =ª at æ = 1. O a. y=- 4x-3 O b. Not in the list O c. y=…

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Q: Evaluate the integral of sinº x dx from o to n/2. А. П/32 В. гп/17 С. зп/32 D. 5n/32

A: We know, 2sin2A=1−cos2A  2cos2A=1+cos2A2cosAcosB=cos(A+B)+cos(A−B)

Q: 3. Evaluate: lim -) X-0 \sinx 4. Using the binomial series, find the power series of f(x) = =

A: Since, you have posted multiple questions. As per guidelines, we"ll solve only first question. If…

Q: The polar coordinates of a point are given. Plot the point. 57 T/2 T/2 3 2 2 -3 -2 -1 1 2 3 -3 -2 -1…

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Q: 6. Solve the differential equation: 2xydx + (x² - 1)dy = 0 А. ху - 1- с B. x'y - y = C С. x y = C D.…

A: We have to solve the equation

Q: if f(x)=(5+x4)1/4 what is (f(x))2

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Q: Oil leaked from a tank at a rate of r(t) liters per hour. The rate decreased as time passed, and…

A: We have to find the lower and upper estimate.

Q: B- derive expressions of the height, flight time and range of a projectile in terms of the initial…

A: We need to derive formula.

Q: 2 Find the definite integral fo5 tan(x)dx using strips of width for the trapezium rule correct to…

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Q: įsin' | sin' xdx The integral of is

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Q: a. For the given value of n, use sigma notation to write the midpoint Riemann sums. f(x) = cos 2x…

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Q: You wish to determine how much should be deposited in an account paying 7.4% interest compounded…

A: This question can be solved using the concept of compound interest when interest is compounded…

Q: 06: A- A projectile is to be fired from ground at angle of 30° to reach a target point that is 100m…

A:

Q: dy at x = 2 for the function below. dx Evaluate у%3D — 2и + 4и + 9, where u %3D 4x2 — бх + 5

A: Given that,    y=-2u3+4u+9, where u=4x2-6x+5

Q: Find div F and curl F of F(x, y,z) = (x z³) i + (3x²y1² )j + (3z?y) k

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Q: Suppose a(t) = 2 m/s²gives the acceleration of a particle moving along a line in…

A: We have to find the velocity function, displacement and distance.

Q: The following series is not an alternating series. (-1)2n n=1 Vn2 + 6n Select one: O True O False

A: Note:- These are multiple questions and according to our company guideline we can do maximum one…

Q: For the following function, find its inverse. f(x)= In(6x 2)

A: Given, f(x)=ln(6x-2)

Q: Express the vector P, P2 in the form v = v,i+ v2j+ V3k if P, is the point (- 8, - 1,8) and P2 is the…

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Q: he region between the graph of y = 4x – 8 and the x-axis from - 2sxs6 Ay 30-

A: Topic:- geometry

Q: Maximizing construction costs The management of the UNICO department store has decided to enclose an…

A: answer is in next step

Q: 7 - 3 - | 87 23 Find the eigenvectors of the given matrix: 土 i

A:

Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

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Q: What are the first three non-zero terms in the Maclaurin Series of f(x) = e* sin(x)? x - +-- О а.…

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Q: 5. y = 3x - 4 at (0. - 4)

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Q: The following series is divergent: 7n-2 \" Σ n+5 n =1 Select one: O True O False

A: We can solve this as follows:

Q: Which of the following statements is true for the function f whose derivative is f'(x) = (x + 2)e-*…

A: Here we have to find the intervals where the function is increasing and decreasing.

Q: If f(x) is integrable on [a, b] , then f(x) is continuous on [a, b] . O True O False

A: Given statement:If fx is integrable on a,b, then fx is continuous on a,b.We need to check the…

Q: 4x + 6 2x2 + 5х + 3 X-1 2х + 4 6. %3D X+ 2

A: According to guidelines, we can answer only one of the multiple questions given. Submit the…

Q: For the function x-3 f(x) =: 2x +5 Determine coordinates of the y-intercept of the inverse function…

A: We can find the inverse function and the required answer as below.

Q: Consider the function f(x) = x* + 2x. %3D

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Q: 5. f(x) = 2x + 3

A: First write the formula and then put all the values and simplify.

Q: Prove or disprove the following statement by induction 1-3-5. ... ·(2n-1) a.) 2n whenever n is a…

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Q: Find F as a function of x and evaluate it at x = 2, x = 5 and x = 8. F(x) = [ (13 + 6t - 5) dt F(x)…

A: given a definite integral

Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

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Q: A dynamite blast blows a heavy rock straight up with a launch velocity of 160 ft/sec. It reaches a…

A: First find critical point then check where it is maximum and put value of critical point in…

Q: O Question 17 Evaluate the integral dx (7x2 + 1) by making the appropriate substitution: dx = (7x2 +…

A: Solving

Q: Find the length of the curve over the given interval. Polar Equation Interval r = 2

A: The detailed solution is given below  Thank you

Q: at is the absolute maximum value of = x - 3x? on the e function f(x) erval [-2,4] ? а. —20 о b. 16

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Q: Express the following vector in the form v = v,i+v2j+V3k. 3u - v if u = (4,6, – 8) and v = (2, –…

A: We can find the answer as below.

Q: Express the following sums using sigma notation. c. 12 + 22 + 32 + 4² 4 c. 12 + 22 + 32 + 4? = E k=…

A: