What is the x-intercept of the tangent line to y=ln(x) with a slope of 8?

Q: 1 Use the geometric series 1 >a* for |æ| < 1, to find a power series representation k=0 for the…

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Q: Let à =, B = and Č = a) (à · B)č b) Ả · (2C) Find C)

A: A→=1,-2,3, B→=0,2,4, C→=5,-1,-3a)…

Q: S x³et*dx

A: A detailed solution is given below

Q: | cos 3y dy 4.

A: I=∫ cos6(3y) dy3y=tdy=t3Integration by parts;∫uv dx=u∫v dx -∫ dudx ∫vdx dxI=13 ∫ cos6t…

Q: Find the gradient of the function at the given point. w = x tan(y + z), (17, 6, -3)

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Q: 2. Evaluate the improper integral. e COs x dx

A: I=∫0∞ e-x cosx dx Integration by parts;Formula:∫(uv)dx=u∫vdx -∫dudx ∫vdx dxu=cos x, dudx=-sin…

Q: Find k so that the following function is continuous on any interval. S f(x) = 7x 2 < x kx 0 < x < 2…

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: Consider the following. u = -9i – 2j - 4k, v = 4j + 4k (a) Find the projection of u onto v. (b) Find…

A: Explanation of the answer is as follows

Q: Find the centroid of the region lying between the graphs of the functions y = 11 sin(x) and y = 11…

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Q: Evaluate the following IMPROPER INTEGRALS. It is optional to double check your answers/solution for…

A: To evaluate the given integral.

Q: 1. Find derivative, critical numbers and the absolute maximum and absolute minimum values of f(z) =…

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Q: . Find two vectors that are orthogonal to the plane containing the points P = (3,0,1), Q = (4, -2,1)…

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Q: (x) = sin(x) ompute (5) + * (5 ) + x" (;) IT 2

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Q: x'sec'ydy – (1 – 2x²tany)dx = 0

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Q: Find all solutions of the equation. 3tan? (0) – 1 = 0

A: The given question can be solved as shown in step2.

Q: 2. Find an equation of the sphere satisfying the given conditions. a. It is concentric with the…

A: In this question, we want to find an equation of a sphere which is concentric with the given sphere.

Q: Use L'Hospital to determine the following limit. Use exact values. In x lim glnz

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Q: 4014H al

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Q: /Factored) Evaluat the indefinite Integral. Write your answer in xp गके एके +उमणेप्याउ 1- et:

A: To evaluate: I=∫x+2-1dx

Q: Which of the following integrals are improper? (Select all that apply.) dr 6x – 1 dr 2r – 1 sin (x)…

A: An improper integral is an integral that has either or both limits infinite or the integrand reaches…

Q: Question Select your answer. Find a number within the interval [-5, 5] such that the sum -5 of the…

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Q: Q2. Evaluate the integrals below by first using trigonometric identities to simplify the in-…

A: We have to find value of given definite integral.

Q: 2-use Cramer's rule to solve the system 3tan²x+y=3 2 tan’x -3y=13 X.

A: Given equations, 3tan2x+y=32tan2x-3y=13we know thatfor system  of…

Q: white the funetion in the form flx)- for the given value of K, and demon c flx)= r 2 flx)= x3-x-14x…

A: Given    q(x) is the quotient when F(x) is divided by x + 1 and r is the remainder.

Q: 3. y = ln³(x + sin x) 4. y = tan¬1(3x) cos 1 4x G ED DI 5. y =

A: All the questions are a solved below.

Q: Consider the expression (3x² + 2/x)10 a) Find a simplified formula for the general term. (separate…

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Q: Which of the following is a value of tan 0 if V3cos 0 - sin 0 = v2? -V3 + 2 V2 + 3 O Option 1 O…

A: Given  3 cos θ - sin θ = 2 We have to find the value of tan θ.

Q: 11.(Straightforward) Find a particular solution to each of these ODES by using the method of…

A: As you have asked for question 11 c only. So I am solving that only. Thank you.   Two solutions y1,…

Q: integral. Give your answers as fractions 3 (i) dx V1- x2

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Q: Question Select your answer. A function f(x) has a critical number a = c. Which of the following…

A: Recall:  y = f(x) + C C &gt; 0 moves f(x) up C &lt; 0 moves f(x) down   Given P(x)=f(x)±k  Where k…

Q: 4. Find the equation of the tangent to h(x) = x´sin(2x) at x = 1 [no unit circle needed]

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Q: What are the relative extrema of the function f(x)=x^3+3x^2-24x+7 a. relative minimum of -4,…

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Q: Use Lagrange multipliers to find the minimum distance from the curve or surface to the indicated…

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (5,13, -10) 2 tan(3)i,5…

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Q: 4. What is the geometric relationship between the two integrals below? et dx, In x dx Evaluate the…

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Q: Determine the direction cosines and direction angles for Á =

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

Q: ydx=(ye^y- 2x)dy

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Minimize…

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Q: Find the gradient of the function at the given point. In(x2 - y) - 6, (2, 3) Z = Vz(2, 3) = %3!

A: To find out the gradient of the function at the given point..

Q: Find a possible formula for the graph. -8 -7 -6 -5 4 -3-2-1 5678 O g(x) = kx(x + 1)(x– 2) for any…

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Q: S 3xe*dx

A: Given problem :- ∫ 3xex/2 dx

Q: Find the gradient of the function at the given poin w = x tan(y + z), (6, 15, –13) Vw(6, 15, –13) =

A: The given function is w=xtan(y+z) ............................................. (1)  We have to find…

Q: J 3x - y = 8 - y3= 3D8 46. - 2x + y = 4 %3D

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Q: Solve the following items and show your solutions. c.) Find the general solution and solve for the…

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Q: PROPER

A: We will solve this homogeneous differential equation.

Q: 21.3 xdx V16 - 9х4 0.

A: We to integrate the given integration.

Q: A ball is thrown vertically upward. Its height h feet after t seconds is given by the formula…

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: Given line x-38=y2=z-714=tAny point on the line is of the form,x=3+8t,y=2t,z=7+14t,Put…

Q: Calculate the fluid force F on the shaded side of the triangular plate submerged in fluid with mass…

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Q: Q4: Evaluate each of the following integrals: (a) | (4+ cos x)· sin x dx (Substitution)

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