Question * If lim x-1 f(x)-f(1)-3, then lim A->0 x-1 ƒ(1+h)-f(1)_3. h

Q: The doubling time of an investment is the amount of time it takes to double in value. If an…

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Q: {CLO-1} Find the values of a and b such that the following function is continuous everywhere. ax²-a…

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Q: c) 1/2 1 1-x² dx

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Q: Given the polar coordinates (1,7π/8) determine (x,y). What is x=______. (round to 3 decimal)

A: In this question, we need to find the rectangular coordinates (x, y) from the given polar…

Q: 2 3s + 9 Option 4 Option 2 -3t e 2 3 e 23 c -34 3 None of the choices 3 -34 2 Option 1 e

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Q: √√53-25² +5 ds

A: Given

Q: Implicit Differentiation The process of finding the derivative of a dependent variable in an…

A: Given y3+4y2+3x2y+10=0To find dydx:

Q: lim x→0 tan2x-2sinx x3

A: A detailed solution is given below.

Q: Evaluate the triple integral zdV, where E is bounded by the cylinder y² + 2² = 4 and the planes z =…

A: Given problem:- Evaluate the ∫∫∫E z dV, where E is bounded by the cylinder y2+z2=4 and the planes z…

Q: Find the absolute maximum and minimum of the function f(x,y) = 2x² - 4x + y² - 4y +6 on the closed…

A: Solution: f(x,y)=2x2-4x+y2-4y+6 the vertices of the triangle by joining the given lines are (0,0)…

Q: Write an equation for a rational function with: Vertical asymptotes at x = 6 and x = -4 x intercepts…

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Q: √ and g(x)= )=x² Let R be the region in the first quadrant bounded by the x-axis and the curves f(x)…

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Q: We use Law of Sines and Law of Cosines to solve for a triangle. When we say solve for a triangle, we…

A: As per our norms we have to write three multiple questions at a time kindly repost remaining…

Q: Find 2 dr if y=1-t² and x= 4+² dx

A: 1.       dy/dt = d/dt [ 1- t²]   = -2t        2.      dx/dt  = d/dt [ 4t²]     = 8t   So now…

Q: [CLO-2] Evaluate the Indefinite integral by using the substitution rule. S√tan (x) sec²(x) dx…

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Q: Given z *- Find Z*** www.xy. www Option 1 Zxx = -2x³ Zxx = -2x-3 Option 3 Zxx = 2x 3 Option 2 none…

A: Given

Q: Əw Given w = xysin(z²), x=s-t, y=s², z t². Find Əy əw ду = y sin z ² Option 1 O Option 3 aw = x sin…

A: Topic:- derivatives

Q: To find the distance across a small lake, a surveyor has taken the measurements shown. Find the…

A: As per guideline we can answer only one question, Please repost other question.

Q: Use the shell Method to Find the Volume of the bounded by Solid generated by by revolving the region…

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Q: 1. f cos³ 3x sin¹ 3x dx 2. fcsc4 5x cot4 5x dx 3. ƒ cos³ xdx from a = 0 to b = 2

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Q: (CLO-3) Find the area between the curves y=12-x2 and y=x²-6-

A: We have to find the area between the curves.

Q: A retailer has been selling 1,000 computers a week at $750 each. The marketing department predicts…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the Laplace Transform

A: Topic:- application of integration

Q: Question 5 Use the rules of differentiation to find the derivative of the function y = x(6x + 1)5.…

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Q: (a) Use the trapezoidal rule to approximate the integral. dx

A: Solution of given question is written in below steps.

Q: Evaluate lim √9-t-3 t-o t

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Q: Compute the center of mass/ centroid of the region R = {(x, y): 1≤x≤3, 0≤ y ≤ x²

A: Here we have to find the centre of mass of a region.

Q: Find the value of the following implicit derivative tan y-sec x=5 find...y'

A: Given problem :- Find the value of the following implicit derivative   tan(y)-sec(x) = 5 find   y'

Q: Q1): Prove that: A square matrix B has inverse if and only if determinant of B is not equal zero.

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Q: Question 16 O [CLO-2] Find the derivative of f(x)=tan -¹ (√2x) O √√2x+√√88² (1+√√2x)² 1 √√√2x+√√2x³

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Q: Find x' for x(1) defined implicitly byx+x+1-9=0 and then evaluate x' at the point (-2,1). x-2.1)…

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Q: Find xer2 dy if dx = y sin x 1-

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Q: Find a formula a, for the n-th term of the following sequence. Assume the series begins at n = 1. 1…

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

Q: Find the volume of the solid generated when the plane region bounded by: x=y^2 and x+y=2 is…

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

Q: e) Evaluate the following limit at infinity and show your work. 3x3-4x a) lim x→∞ x²-2x³

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Q: Calculate the derivative of y with respect to x. Express derivative in terms of x and y. e6xy = sin…

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Q: A particle moves along the path whose parametric equation are x = t³ and y = 12t2. What is the…

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Determine the limit of the sequence or state that the sequence diverges. an = 1 6 n² (Use symbolic…

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Q: Complete the following. (a) The graph of y = g(x) is shown. Draw the graph of y = g(-x)+1. ? -8 -6 A…

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Q: A point P is moving along the curve whose equation is y=√x³ +17. When P is at (2,3), y is increasing…

A: Differentiate with respect to t.

Q: This question is designed to be answered without a calculator. Use this graph of function f. y 5+ in…

A: Here, from the given graph the function is continuous at x=0,2,4 but not continuous at x=-2 because…

Q: 1. TⓇ S (a) Find the general indefinite integral. 2t² + t²√t-1 t² dt

A: topic- definite integral

Q: A. Find the general equation of the conic with the given properties. A hyperbola with foci at (4-…

A: Given problem:- A. Find the general equation of the conic with the given properties.   A hyperbola…

Q: Use cylindricoll shells to find the volume shells of the solid obtained by rotating the region…

A: Given region is bounded by y=x2 , y=0 and x=6 rotating about y -axis

Q: F- 2x-7 h(a) √√x +3 the function Find the Domain (11) Range of (11) Show wheather the function is…

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Q: polar integral to find the area rusk 2) Use a enclosed by the three - petaled T = Singe

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Q: [CLO-2] Evaluate the improper integral. 8 √₁² (0-²x + ₁ 72² 2² ) ₁ dx 1 1+x²

A: Follow the procedure given below.

Q: 2 3s +9 Option 4 Option 2 Option 3 -3t e co 2 3 23 e 3 -St None of the choices 3 -3t 2 Option 1 e

A: Given :L-123s+9

Q: Find all critical points of the function f(x) = 2x² 7x²2-2x+4* (Use symbolic notation and fractions…

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Q: a. f(x) = (x² − 9) =

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