If f'(x) =e*- 3 sin (x) und fco) = 4,what fcx)?

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Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid…

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Q: 1. Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8)); u = (i-)

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Q: The monthly profit, P(x), of a company is expected to change at the rate of 6,498 P'(x) = 3 – (2а —…

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Q: 1. In the differential equation (x+2y-1)dx+(2x+4y-3\dy=0, we let the substitution %3= 2. In the…

A: 1) Here, the differential equation is: (x+2y-1)dx+(2x+4y-3)dy=0⇒dydx=-x+2y-12(x+2y)-3

Q: Find an equation for the given polar graph. NOTE: Numeric label on this graph represents distance…

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Q: Given the function glx) = -, find the x-value that satisfies the Mean Value Theorem on the interval…

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Q: Find the volume of the solid generated if the region bounded by the parabola y2 = 4px (p > 0) and…

A: Given

Q: coskry) Im .y)- y-5

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Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

A: Volume

Q: 4 n+ 2 is divergent. n=1 1+6n Select one: O True O False

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Q: Solve the differential equation dy æy? y(0) = 1 dx /1+ x² There is no need to isolate y.

A: A detailed solution is given below

Q: Find the value for k so that the function will be continuous at x = 3. - 10x? – 10x + 120 - 1 if x <…

A: The given function,  f(x)=-10x2-10x+120x-3-1if x&lt;3-7x2-70x-175+kif x≥3

Q: Find u · v, u· u, ||v||2, (u · v)v, and u · (3v). u = (4, -3, 5), v = (0, 6, 4) (a) u: V (b) u.u (c)…

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

Q: Find the area of the region enclosed by the rose r = 10 cos 30. NOTE: Enter the ezact answer. A =

A: Here, the polar curve is r=10 cos 3θ which is as shown:

Q: Evaluate the definite integral. el" i+ej+t k)dt O el7 i - e- j+ 17 k O el7 1 i- (e-- – 1) j + , k…

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Q: Find the exact location of all the relative and absolute extrema of the function. (Order your…

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Q: 9y" + 6y' + y = 0, y(0) = -1, y' (0) = 2.

A: THE SOLUTION IS GIVEN

Q: 4.1 Consider the three permutations in S6: 1 2 3 4 5 6 4 5 6 2) 3 1 1 2 3 4 5 136 5 2 4 1 2 3 4 5 S…

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Q: Q1/ a) Sketch the graph of y = sin2x for 0 <x SI %3D b) find the total area bounded by the curve and…

A: This is a problem related to calculating area under curve of the polar equation. Based on the…

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) y1…

A: The given equation of the curves are: y1=x2-3xy2=0 And the bounded region is as shown below: Now…

Q: 5. In antidifferentiation, the formula § x" dx + Cis valid if? %3D (n+1) А. nER В. п# 1,п€ R С. п€…

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Q: 8. - Evaluate | 1 dx 1+x а. d. none of the choices b. 1/ 2 е. -co с. f.

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Q: Find r'(t), r"(t), and r'(t) · r"(t). r(t) = 5 cos(t)i + 4 sin(t)j (a) r'(t) (b) r"(t) (c) r'(t) ·…

A: Here is the solution

Q: 4. Find the absolute maximum and absolute minimum of the function f(x) = 3 sin(x) cos(x) over the…

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Q: Find an equation of the tangent plane to the surface at the given point. g(x, y) = = arctan 2, (9,…

A: Follow the procedure given below.

Q: I need help with all of these problems

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Q: solve the following differential equations using the substitution suggested by the equation.

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Q: A box with a square base and open top must have a volume of 186624 cm³. We wish to find the…

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (3, 9, –5) Vw(3, 9, -5) =

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Q: Find the volume of the solid formed by revolving the region bounded by y = sin x and the x-axis from…

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Q: Knowing that harmonic series is divergent, which of the following series is also divergent by Limit…

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Q: Let S be a set of m vectors in R". Determine the following statements as True or False. a) If S is…

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Q: Locate and classify all extrema in the graph. (By classifying the extrema, we mean listing whether…

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Q: If f(x) and g(x) are two functions defined on an interval then, ꭍ{f(x)±g(x)} is equal to? a.…

A: We have to choose correct option.

Q: 1. S v2x – x² dx 1+x2 2. S* dx 1+x3 3. SV1+ v1+x dx 4. Set up only the integral(s) that will compute…

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Q: The value of the integral I = e-x2/7 dy is required in the development of the normal probability…

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Q: Find an equation of the tangent plane to the surface at the given point. g(x, y) = arctan Y. (4, 0,…

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: You are a Math tutor, one of your students asks you to explain the error in his solution to the…

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Q: Write this compound statement in symbolic form: 'A triangle is an equilateral triangle if and only…

A: 'A triangle is an equilateral triangle if and only if it is an equiangular triangle' Let , P: A…

Q: Solve the differential equation dy ; y(0) = –1. %3D da Vx³ +1 There is no need to isolate y.

A: We know, ∫xndx=xn+1n+1+C , C is a constant and n is any real number.

Q: Verify that the two planes are parallel. -x + 6y + 2z = 4 + 3y + z = 5 Find the normal vector, n,,…

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Q: Use the integral test to test the series 2 3+5n n =0

A: Series ∑n=0∞ 23+5nWe need to apply integral test.

Q: Consider the following. u = 8i + 7j v = -7i +j+ 2k Find u x v. Determine if u x v is orthogonal to…

A: Here, the given vectors are: u=8i+7jv=-7i+j+2k

Q: Find the directional derivative of the function at P in the direction of v. h(x, у, 2) %3D хуz, Р(5,…

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Q: Find r'(t), r"(t), and r'(t) · r"(t). r(t) = 8 cos(t)i + 5 sin(t)j (a) r'(t) (b) r"(t) (c) r'(t) ·…

A: Solve it.

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Q: For each specified discontinuity, sketch the graph of a possible function f(x) that illustrates the…

A: This is a problem related to limit and continuity. Based on the given RHL and LHL we will plot the…

Q: 5. Determine the intervals on which f(x) = -5x* + 40x³ – 5 is concave up or concave down using…

A: 5.The given function f(x)=-5x4+40x3-5 Note:    Multiple questions are given, we are answered with…