Given that f(x) = x³h(x) h(-1)=2 h'(-1)=5 Calculate f'(-1). -20 Hint: Use the product rule and the power rule. X

Q: Let y be defined implicitly by the equation In (4y) = 3xy. Use implicit differentiation to find the…

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Q: Determine the function f satisfying the given conditions. f ' (x) = ex/3 f (0) = 10 f (x) = A eBx…

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Q: Please complete parts (d) and (e)

A: To solve part d and part e, answer of part c is required.

Q: Change the order of integration. S J f(x, y) dy dx

A: given

Q: Solve the initial value problem [x²y" + 9xy' +12y = 120x¹ (x>0) [y(1) = 2, y' (1) = 28 given that {…

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Q: Find the average value of the function h(x, y) = x³y² on the region bounded by f(x) = 2x + 2, g(x) =…

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Q: Let f(x) = lnx Since f(x) rs for x>0 Continuous Since (1,1,04), by mean such that on [1, 1.04] and…

A: The given function is

Q: Find the local linear approximation of f(x) = NITK at to=3 to approximate $3.9 and 1 use it (a) f(x)…

A: f(x)=

Q: -7-6-5-4-3-2-1 1 2 3 4 5 6 7 Draw the graph of y = f(2x+4) -3 by adjusting the vertex and width with…

A: given graph of function f(x)

Q: Consider the following. (If an answer does not exist, enter DNE.) f(x) = x5 e-x (a) Find the…

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Q: Application of De A tank contains 1,200 liters of fresh water. Brine containing 0.2 kg/liter of salt…

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Q: The given curve is rotated about the y-axis. Set up, but do not evaluate, an integral for the area…

A: The given curve equation is  ,

Q: Given the demand function D(p): Find the Elasticity of Demand at a price of $29 Unitary O Inelastic…

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Q: 1.Find all critical points, extreme values ​​of the following function. f(x) = x^2 + x with I = [−2,…

A: To find all critical points, extreme values ​​of the following function.

Q: Find a formula for the nth partial sum of the telescoping series below and use it to determine if…

A: ∑n=1∞(n+6−n+5)

Q: Solve for x. 3x = 22 Select the correct choice below and, if necessary, fill in the answer box to…

A: The given equation is

Q: 3. ftan5 4x sec³ 4xdx.

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Determine the interval(s) for which the function shown below is decreasing. -8-7-6-5-4-3-2 8 7. 6 y…

A: given graph of the function

Q: 37. If the region shown in the figure is rotated about the y-axis to form a solid, use Simpson's…

A: The Simpson's rule formula The graph

Q: Solve for x. 4x = 26 Select the correct choice below and, if necessary, fill in the answer box to…

A: The given equation is

Q: Find an equation of the normal line to the parabola y = x² - 8x + 4 that is parallel to the line x-…

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Q: Suppose a product's revenue function is given by R(q) = -2q² + 700q, where R(q) is in dollars and q…

A: Revenue function is given by:Where, is in dollars is the units sold

Q: Evaluate the integral by reversing the order of integration. 1 1₁² X 4 y³ + 1 dy dx

A: given

Q: Let F = (z, xy, x² + y²). Compute the work done by the force when moving a particle located at the…

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Q: Find a polar equation for the curve represented by the given Cartesian equation. (Assume 0 ≤ 0 <…

A: Given equation is : x=-8Concept : To convert an equation into polar form, we substitute x = r cos…

Q: Use the remainder theorem to determine if the given number c is a zero of the polynomial. f(x) = 5x²…

A: Remainder Theorem:If a polynomial p(x) is divided by the binomial x−a,the remainder obtained is…

Q: Find the derivative of: -5√x + 3 76 ● Type your answer without fractional or negative exponents. Use…

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Q: Find the vertex form of the function. Then find each of the following. (A) Intercepts (B) Vertex (C)…

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Q: f(0) = ln(cos 0) f(x) = log5 √√5x+1

A: f(θ)=ln⁡(cos⁡θ)

Q: Calculate p'(1) if p(x) = (f(x) + g(x))¹.

A: The given function .The aim is to find the value of the derivative .

Q: Compute the curl and divergence of the vector field F(x, y, z) = (1, 2², 2yz). 1+x² Is F…

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Q: Solve the following homogeneous diffe y"-4y'+4y= 0 »._4y"+л²y = 0, y(0) = 2, y'(0) = 0 x²y" - 2xy' +…

A: Given differential equationwhich is clearly a Euler Cauchy DE

Q: If f(x) = 4√√x(x³ - 8√√x+6), Find f'(2). find f'(x).

A: If .To find .

Q: The following limit lim Select one: O None of them 8x³y³ (z,y) →(1,2) 2x - y O equals 12. O equals…

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Q: Find dy clx In (sin(8x3)) a) y=(√√x2-1) In (sin( b) y = 1+ sin ² (3x)+sin 4 (3x) + sin 6 (3x)+.... +…

A: Since, you have posted multiple questions.As per guidelines we are supposed to answer only first…

Q: Determine for what values of k the system  3x + 2y = 1; 6x + 4y = k has: a unique solution no…

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Q: Determine whether C(A - B) is defined. If it is defined, express the result as a single matrix; if…

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Q: Let f(x) = (6-x-x² 2x - 9 Calculate the following limits. Enter "DNE" if the limit does not exist.…

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Q: Simplify the rational expression. y³ - 27 -y² + 9y - 18

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Q: Q8 Find the set of intervals for the following functions (a) f (x) > 0 (b) f(x) = 0 (a) f(x) < 0 (b)…

A: we are given graphs of wo functions and we are to find on what intervals are those functions…

Q: The edge of a cube was found to be 30 cm with a possible error in measurement of 0.4 cm. Use…

A: The edge of a cube was found to be 15 cm with a possible error in measurement of 0.1 cm.By using…

Q: Use the parametric curve, and given value for the parameter, to answer the following question. Use…

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Q: (a) Setup an integral to calculate the area between the curves r = 2 + sin 30 and r = 4 - cos 30.

A: As per guidelines we can answer only first question if multiple questions are posted.Please repost…

Q: Find when 6x² + 3x³y - 2y = 40. dy dx dy dx The slope of the tangent line to this curve at the point…

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Q: Evaluate 7/8 S 0 11√ 1- cos 8x dx либ

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Q: In 2004, an art collector paid $168,274,000 for a particular painting. The same painting sold for…

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Q: Solve the equation. 3q 9-4 - 1 9-3 1 The solution set is 2q² -5q 2 q-7q+12 3 16 ±0 0.0.. (0) {}

A: Given

Q: The function g(x, y) = sin x + sin y has a critical point at (³7, 37). 2 The 2nd partials test…

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Q: Use logarithmic differentiation to find the derivative of the function. y = (tan x)8/x 11

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Q: Use logarithmic differentiation to find the derivative of the function. y = (tan x)8/x 8 -tan(x) tan…

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