Find the values of a and b if the tangent to y = ar² + bx at (1,5) has a slope of 8.

Q: dx 2. Algebraic Substiution

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Q: Find dy/dx by implicit differentiation. x + y6 = 60 dy/dx

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Q: F. Directional Directive Find Duf (x, y, z) at (2,–1,0) in the direction of the unit vector U parall...

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Q: Given that y, (x) = x-1 and y, (x) = x3/2 are solutions of the differential equation 2x2y" + xy'-3y ...

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Q: Let z= sin (y2 – 4x), Find the rate of change of z with respect to y at the point (2, 1) with x held...

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Q: 1. Find the sum of the first 13 terms of the geometric sequence shown below. 2, 8, 32, 128, ....

A: 1.  The geometric sequence,  2, 8, 32, 128,......2.first term, a=2common ratio, r=-1

Q: Evaluate the integral, if it exists: lim sinx dx r→+z -r

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Q: Evaluate the integral. NOTE: Enter the ezact answer. e cos(3z) dz %3D +C

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Q: 1. f(x)=5x² – 30x 2. f(x) = 2x +12x² +4

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Q: https://www.webassign.net/cgi-perl/symimage.cgi?expr=n%20%3D%20f%28t%29%20%3D%20a%2F%281%2Bbe%5E%28-...

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Q: Solve the following First Order Differential Equation: + 2y = 1 dr

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Q: Question 2 of 10 > View Policies Current Attempt in Progress Evaluate the integral. d.r r2 + 6x – 7 ...

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Q: Jeremy purchases a boat for the price of $31 950. The boat depreciates in value by 19% per year. The...

A: Here we will find the asked quantities,

Q: cos Vi Find the laplace transform of (i).

A: I am attaching image so that you understand each and every step.

Q: .5 x dx 8. f 3 x2 - 5 A. In5 B. In16 C. In /5 D. In 4

A: Given: I=∫35xdxx2-5   ....(1)   We know that; The logarithmic rule; 1). logaxb=b·logax 2). logbmn=lo...

Q: 4. Given the graph and function below, complete the table. Differentiable Continuous f'(x) Derivativ...

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Q: dx 19. J 16+9x² A.ta *() + B. tan-" () + c ccot- () + c D. - cot () +c 12 16

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Q: The derivative of the function y = sin-1(e* – In x), where Je – In x| < 1, is:

A: Recall ddx(sin-1(x))=11-x2 ddx(ex)=ex ddx(ln(x))=1x

Q: Solve (y- Vx² + y² )dx – xdy = 0 When: x= 0, y = 1

A: Explanation of the answer is as follows

Q: Using an appropriate substitution, (cos-1(x)) e the integral f dx equals: V1-x2

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Q: Sketch the region enclosed by the curves and find its area. y = 4x² ,y = 4Vx,x = - 1 - and x = 1 Ent...

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Q: Exercise 1 In each of the following, use Lagrange multipliers to find the critical points and the re...

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Q: Differentiate y - V3x² – 4 using the Chain Rule. 6. What is the outer function of the given problem?...

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Q: 3. AQRS ASDQ Solve for the value of x 3x-2 D.

A: Given

Q: Find the global maximum of the function f (x) 1+ x? on the interval (-0, 0) Write DNE is there is no...

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Q: I, 7y? da, D is the triangular region with vertices (0, 1), (1, 2), (4, 1)

A: Integral

Q: EXERCISE 1.1 CALCULATE THE LIMIT OF THE FOLLOWING FUNCTIONS USING TABLE OF VALUES AND DIRECT SUBSTIT...

A: Let's find. 

Q: Evaluate the following integral sin(2z) dr.

A: Given query is to find the value of the integration.

Q: Consider the function. x+ 7 (a) Find the Imverse function of r. (b) Use a gaphing utlity to graph fa...

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Q: Tind the vectors that satisfy the stated conditions. VOTE: Enter the exact answers using the provide...

A: We will find the vectors satisfying the above conditions. 

Q: Consider the function whose graph is shown below. Determine if the function is continuous at the fun...

A: Given graph of a function f(x)

Q: Please don't copy and paste other answers. Please answer based on your knowledge on the paper. Thank...

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Q: Determine if the integral is convergent or divergent. Evaluate the integral if it is convergent. Sup...

A: To solve the following integral

Q: 3dx For f x-Vx = O x= u^(1/2) x= u^2 x= u None of the choices

A: Given integration is  ∫3 dxx-x.

Q: The derivative of the function y = ecos²(x) is: y' = - sin(2x)eCos² (x) y' = sin(2x)eCos²(x) the abo...

A: We will find the derivatives of the given function y=ecos2x in the following step.

Q: x* dx (9x² + 49) - (92 - - (9x* + 49) +c V9x² + 49 18.

A: This is a problem of integration. Based on the general formula we will solve the integral problem.

Q: dy a a 1+ Vy + 1 5+ aln:

A: First I have used a substitution and make integral easy and then solved it.

Q: Determine whether the improper integral diverges or converges. dx 1.fº. (2x-1)3

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Q: Hyp

A: We will find what the graph is called. 

Q: Calculate thex and y components of the vector given below. Do not round any intermediate computation...

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Q: . Consider the function whose graph is shown below. Determine if the function is continuous at the f...

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Q: Given the equation: y = (eln x², find y. A In x B 2(In x) / x (c) 2x D 2 elnx

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Q: Select ALL possible answers if there is more than one. (3-2x ifx<2 [3x-7 if 2sx' Which of the follow...

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Q: for power substitution method, next step is * For ai-(r+3)} dr f - 4u²dr 4u²dr -S (u*)& – (u*)* (u*)...

A: For using power substitution method, to determine the next step for the following integral.∫drr+334-...

Q: MAXIMA and MINIMA Problems Solve the following problems below. 1. A function is given below, what x ...

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Q: Exercises: Find the general solution of the following differential equations 4) y"+2y'+y=3e*

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Q: Plane area of rectangle

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Q: Find the derivative of y = 3 sin x A 6 sin x B 6 cos 2x (c) 6 tan x

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Q: Using tabular integration, the integral St"(-2x² + 4x) cos(2x) dx equals: 3Tt 2 – 2 - -1+ 2 the abov...

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Q: Show that lim Vn = 1. n-00

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