If f(x) = v19x, find f'(x). f'(x) =

Q: 5. f(x) = xV5 + x on [-5, –1] Find global extrema.

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Q: Find the integral. 2 9 – x x2-g dx

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Q: dz Find -when dx Ay + yz + ze* = 0. 3x xe %3D e3a + Y dz 1. e4y + 3ze3x dz e4y + 3ze3" 2. dx e3x + Y...

A: Differentiating the equation with respect to x treating y as constant.

Q: The graph of derivative function y = f'(x) is given as föllóws. Answer the questions regarding the o...

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Q: If z isa complex number satisfying|z-1=1. z-2 - itan (arg(2)} Then prove that

A: Z is a complex number 

Q: Find the integral. х — 2x2 – 5 J (x – 3)(x² + 1)

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Q: 1 -5 -4 5 - 5 -3- - 2 -3 -5 0 5 -3 2 - 5 -3 -2 –1 - 4 –4 -1 1 | 5 2 2 - 3 - 4 - 3 - 2 1 and B 5 1 5 ...

A: NOTE : as per our guidelines we are supposed to answer only one question. Kindly repost other questi...

Q: For each problem below, you're given a function and its first and second derivatives. Find the domai...

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Q: 18. A spring has a natural (unstretched) length of 1 meter. If a force of 10 newtons is required to ...

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Q: If f(x) = (3x – 2)(2x + 3), then a. f(– 2) b. f'( – 2) = c. f''(– 2) d. The values of x for which f(...

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Q: x2 dx V4 – x2

A: Solution: Given: ∫x24-x2dx Apply substitution u=4- x2 ⇒dudxddx(4-x2)⇒2x ⇒du=2xdx⇒dx=-12xdu=∫xu-12xdu

Q: How do you find the approximate volume of a triangular prism tank in a work problem?

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Q: Drug Concentration Suppose a certain drug is administered to a patient, with the percent of concentr...

A: Given  K(t) = 5tt2+1 We have to find the intervals where it is increasing and the intervals where it...

Q: Find saddle points 1. f(x, y) = 9y cos(x),   0 ≤ x ≤ 2?

A: Since you have posted multiple question I can do first question as per our company guidelines please...

Q: 122 70 42° B.

A: We can solve the problem by law of sine rule of triangle.

Q: If f(t) = 7 sin t - 2 cost e find f'(t). Use exact values. f'(t) =

A: Let's find derivative. 

Q: Find the saddle points  f(x, y) = 9y cos(x),   0 ≤ x ≤ 2?

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Q: The frequency of vibrations of a vibrating violin string is given by f = where L is the length of th...

A: Since you have posted question with mulitple subparts. As per the guidelines we will solve first thr...

Q: 3. xdy - [5x*(x²+y²) +y]dx= /x²+y² (xdx + ydy)

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Q: transformation occurring in each given function. Function Function Parent Function Transformation Na...

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Q: Please evaluate using the methods or Rules of integration:

A: Given       ∫cot3x csc4x dx We know that                 cosec2x = 1+ cot2x Consider ∫cot3x csc4x dx...

Q: Determine the inverse Laplace transform of the function 2s+5 s-25

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Q: Find the general solution of 2ydx + (x – sin Jy)dy = 0.

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Q: a. f(x)= x4-5 F(x)= b. r(t) V3at+be R(t) C. G(x)=

A: As per guidelines we have to solve 3 subparts

Q: Find the limit lim(1+ 4x)* 3/x x→0

A: We have to find

Q: Vcos 2x dx sin x Evaluate:|

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Q: Use a Double- or Half-Angle Formula to solve the equation in the interval [0, 27T). (Enter your answ...

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Q: 14 In2) Gc-リ2

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answ...

A: Given:- h(p) =(p-2)/(p2+2)  To find  critical number of given function

Q: For the function, find the points on the graph at which the tangent line is horizontal. If no 1 y = ...

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Q: The initial substitution of x = a yields the form %3D Simplify the function algebraically, or use a ...

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Q: the solutions of the eqi tan(x) = 0

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Q: 1 Use the identity S y" to express the function as a geometric series in the indicated term. 1 - y n...

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Q: Find the derivative and simplify. Please show steps  A. f(x) = 2 sin−1(4x + 5) Answer: f'(x)=(4)/...

A: We need to find derivative.  

Q: Find all solutions of the given equation. (Enter your answers as a comma-separated list. Let k be an...

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Q: Find the limit: Va – 14 lim x → 196 x – 196

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Q: Let F be the vector field (zez + yz², xz², xe#z + 2xyz) (a) Find the divergence of F. (b) Find the c...

A: In this question we will use basic of calculus i.e concept of vector calculus. We will first find di...

Q: Find all solutions of the given equation. (Enter your answers as a comma-separated list. Let k be an...

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Q: Find a unit vector that is tangent to the vector function F(t) = at t = 1. Step 1: take derivative ...

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Q: The radius of a right circular cylinder is increasing at a rate of 4 inches per minute while the hei...

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Q: Explain why the function is differentiable at the given point f(x, y) - y + sin (0, 8) The partial d...

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Q: 16. Find the volume V of the solid obtained by rotating the region bounded by the curves y? = x, I=2...

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Q: 4x -dp- x² + 6x + 9 %3D A and B, where B < A and 4x A B denominator denominator x2 + 6x + 9 MacBook ...

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Q: Determine the solution to the following non-homogeneous differential equation: y”-3y'+2y=e^x

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Q: EIf a,,a,,a,..,a, from an A.P. with common difference d, then prove that : a,a,a, a,a,a, a,a,a, a,aa...

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Q: Differentiation the function y = sin( – 6x)cot(- 7x) y' = %D

A: The function is given as , y=sin-6xcot-7x find y'.

Q: Select all of the following tables which could represent a linear function. f(x) -2 23 48 15 73 k(x)...

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Q: The point P(3, 16) lies on the curve y = x+x + 4. If Q is the point (r, a+a+4), find the slope of th...

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Q: b) V = P,(R) B= {1,1+x,1+x+x²,1+x+x² +x'}; p(x)= 4-x+x² – 2x

A: Please see the below picture for detailed solution. 

Q: Find the derivative and simplify A. y =((x2)/(2 + lnx)) B. f(x) = ln (√((4x + 1)/(5x + 7))

A: We have to find