Find the particular antiderivative of the following derivative that satisfies the given condition. dx =3e¹-5; x(0)=2 dt

Q: ∫6x5−7x3+12x2−10 dx Evaluate indefinite anti-differentiation

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Q: Find the indefinite integral. (Use C for the constant of integration.) 1₁ sin 20 de

A: This question is based on indefinite integral.

Q: ² fx ds, where C is с t a. the straight line segment x = t. y = from (0,0) to (16,4) b. the…

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Q: Looking up, Jim sees two hot air balloons in the sky as shown. He determines that the lower hot air…

A: Follow the procedure given below.

Q: Evaluate by algebra dx 1. S 3 1+ √x+1

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Q: Determine the volume of the solid obtained by rotating the region bounded by x=(y-2)^2, the x-axis…

A: Solution is given below:

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A: Find the rate of the top of ladder sliding down.

Q: ∫(x2+5)2 dx Evaluate indefinite anti-differentiation

A: Let's find.

Q: ume that x and y are differentiable functions of t. For the following, find dx/dt given that x = 8,…

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Q: x²+x-1 dx 5x² + x3-x

A: First we take partial fraction then solve it.

Q: Find a formula for the function f(x) such that f′(x)=tan⁡(x)x and f(5)=8. f(x)=  +∫   t= t=

A: This is a problem related to integration of the function. Derivative is given now by performing…

Q: Find the average value ha of the function h on the given interval. ave h(u) = (14 - 13u)-¹, [−1, 1]…

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Q: While measuring the side of a cube, the percentage error incurred was 3%. Using differentials,…

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Q: Solve the problem. A business estimates that the salvage value V of a piece of machinery after t…

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Q: Calculate the derivative. g" (0), g(s) = es S+7 (Give an exact answer. Use symbolic notation and…

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Q: For the right triangles below, find the exact values of the side lengths b and c. If necessary,…

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Q: B с Ь

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Q: 2(-3x+1), dx

A: I=∫ 32(-3x+1) 2-3x dx21-3x =t21-3x ln2  ddx(1-3x) dx=dt-3 ln(2) 21-3x dx=dt2-3x dx=dt-6 ln 2

Q: Use L’Hospital’s Rule to evaluate the given limit.

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Q: Find the area of the region bounded by the given curves. Decide whether to integrate with respect to…

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Q: 17 m K 19 m hm 9 m Part 1: Part 2: Part 3: Part 4: Let h be the height of AJKL. Find the length of…

A: To find the area of triangle, height etc..

Q: The Bernoulli's form of the differential equation xdy - [y + xy³ (1 + ln x)]dx = 0 is

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Q: Activity 2 Find the first derivative of the following: 1. y = ln (12x) 2. y = sin-¹ (x² + 3) 3. y…

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Q: Consider the following matrix. -2 -3 A = 5 7 Choose the correct description of A. Find A if it…

A: First check that given matrix is singular or not then find its inverse.

Q: 3. The Bernoulli's form of the differential equation x³ydx+(3x¹-y³dy=0 is

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Q: A farmer uses x lb of fertilizer per acre at a cost of $0.20 per pound, leading to a revenue of R =…

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Q: A pendulum of length 10 cm has swung so is radian measure of the angle formed by the pendulum and a…

A: Follow the procedure given below.

Q: a. Find the other functions of the triangle ABC, given that: 1. Sec A = 2 2. Cot A = 5/2

A: Solution is done in step 2

Q: Identify and sketch the graph of the equation in R³. Identify and sketch the graph of the traces as…

A: An equation is given                         -x+y2+z29=0We will name and sketch the graph of the…

Q: Use Green's Theorem to evaluate the line integral a-x)dx + (2x - x) d for the given path. C:…

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Q: Use the formula k(t) k(t) = ||r' (t) x r"(t)|| ||r' (t)||³ to find k(t). r(t) = 7 cos(9t)i + 7…

A: Let's find.

Q: x² - 1 dx 2 2 X²

A: We have to solve above question

Q: 10. Find the area of the paraboloid x² + y + z² = 2 by the plane y = 0. (Hint: Implicit Surface)

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Q: (8x4 − 5x2 + 2)dx evaluate indefinite anti-differentiation

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Q: ∫(2 cos(x) − 7sinx(x))dx   Evaluate indefinite anti-differentiation

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Q: Verify Green's Theorem by evaluating both integrals √ y² dx + x² dy = √ √ ( Ox (ON-OM) c for the…

A: Here we have to verify the Green's theorem.

Q: Teddy got 87% in his Quarterly Assessment for Physical Education and Health. If there are 65…

A: Teddy got 87% in his Quarterly Assessment for Physical Education and Health. If there are 65…

Q: Use the given derivative to find all critical points of f, and at each critical point determine…

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Q: and the limit. OTE: Enter the answer using round brackets. m t² +9 1 +0o 8t2 +9' 4t = (?, ?)

A: Given query is to find the limit of the expression.

Q: Verity Green's Theorem by evaluating both integrals ƏN [x² dx + x² αy = [] (2 - 0) A √y² dy dA ax ду…

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Q: What is the contrapositive, converse, and inverse of the ff. propositions The home team wins…

A: As per Bartleby answering guidelines if a questions has multiple subparts then an expert is expected…

Q: Evaluate [12x. (2x - y) dx + (x + 3y) dy. C: arc on y = x/2 from (0, 0) to (4, 32)

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Q: The outer diameter of a spherical tank measures 6 feet. If the tank is made with a material % inches…

A: Given problem:- The outer diameter of a spherical tank measures 6 feet. If the tank is made with a…

Q: Find the total mass of the wire with density p whose shape is modeled by r. r(t) = t²i + 2tj + tk,…

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Q: ∫12v (7+6v2)9 dv Evaluate indefinite anti-differentiation

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Q: a. b. ² (30e³P +/- ¹ dp р 4 1 2 2x4 dx

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Q: 10 F [TOF If f(x) dx = 16 and 5 Isro f(x) dx 10 f(x) dx = 5, find the following. S

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Q: compute the area of the surface formed when f(x) = 2 + cosh (x) between 0 and 1 is rotated around…

A: Given problem:- compute the area of the surface formed when f(x) = 2 + cosh(x) between 0 and 1 is…

Q: The demand function for a bottle of Bethune Hand Sanitizer is p(x) = 0.78 +0.0003x, where x is the…

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Q: ompute the surface integral over the given ented surface: = y'i + 7j - xk, portion of the plane - 1…

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