The slope of the tangent line at any point (x, y) on a curve is 2/r. If the point (9, 3) is on the curve, find an equation of the curve.

Q: The integral of (10*/ cos 10*)dx may be written as A In | sec B* + tan B* | + C. Where A, B, and C a...

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Q: If the brakes on a car give the car a constant negative acceleration of 24 m/s2, where k is a positi...

A: Here we applied the motion law  V^2=U^2-2as Where,  U=initial velocity. V=final velocity.   

Q: dA Evaluate the integral where Ris the region: {(x,y)|0 <x < 1,-3 <y< 3} R

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Q: 2. A steel girder 27 feet long is to be moved on rollers along a passageway 8 feet in width and into...

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Q: Find the area of the region inside one leaf of the five-leaved rose r= 5 cos 50. The area of the reg...

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Q: Which of the following integrals is equal to the integral / s(3x-5) dr? A f(2) dz 7/3 B | s(2) dz 2 ...

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Q: Find the area of the region bounded by the curve y=1– x2 and the x-axis. - 4 square units 6 square u...

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Q: d'y =6-9x and which passes through the points (0, -1) and (2, 3). Find the equation of the curve for...

A: By our policy we are allowed to do one question at a time. Kindly repost other problem other questio...

Q: What is the integrable form of dr? du u du

A: Given integral is:  

Q: Use sigma notation to write the sum. 20 Σ j- 1

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Q: Find the area of the region bounded by the curve y=1--x² and the x-axis. 9. (A 8 square units B 4 sq...

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Q: 1. у %3D х3 — х?cosx + 2xsic 2 sin x – 1 2. у%3D cosx+ 2 3. tan(xy) + xу %3D 0 4. у %3D хсоsх

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Q: ng If C(t) = 62.5t e -0.19t measures the concentration, in of a drug in a person's system t hours af...

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Q: Determine whether the statement is true or false. (tan (x)) = (sec"(x) dx

A: topic - derivatives

Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. ,6x dx u = ...

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Q: f. Find the area bounded by the curves y=x^2+6x and y=3x. Give exact answer.

A: We can find area of the given region as  Follows  

Q: Evaluate the higher order derivatives. 1. Given the function f(y) = find the second derivative. (6+2...

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Q: 1. Integrate using partial fraction decomposition. x2-2x a) S dx (x+3)(x-2)² b) S 2x+1 dx x3+x

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Q: The resulting integral of sin-cos-sino de 2 2 has the form -(0)+ C· What should be the value of o to...

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: Question 17 5 Points Find the equation of the curve for which dx2 d?y =6-9x and which passes through...

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Q: (2- sec?r) elm sec(3A – x) e In (x le ) sec³x -dx to be integrable using the What should be the valu...

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Q: a) Find the length of the curve y(x) = x3/2/3- a/2, 3< x < 4. b) Find the area of the surface obtain...

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Q: Differentiate implicitly to find dy/dx. - y2 = 16 x2 + y2

A: In order to solve this function firstly we need to differentiate it with respect to x on both sides ...

Q: nd the equation of the curve for which nd (2,3).

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Q: Find the interest rate needed for an investment of $4000 to quadruple in 12 years if interest is com...

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Q: Find the particular solution of the differential equation that satisfies the initial condition(s). f...

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Q: Te relationship beween a profesSIonal basketball players helgh H (IN Ihches) anta welght w (In pound...

A: Given query is to find the weight for the given modal.

Q: Find the equations of planes that just touch the sphere (x – 5)2 + (y – 3)² + (z – 5)² = 9 and are p...

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Q: Using the partial fractions technique, the function x) can be written as a sum of partial fractions ...

A: To evaluate the integral.

Q: dx Evaluate Зх — 12 + ∞ + 00 8 1,

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Q: 1. The polynomial function f has exactly one positive zero. Approximate the zero correct to two deci...

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve...

Q: 1 Find the area of the region bounded by the curve y=1--x² and the x-axis. А 8 square units 6 square...

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Q: Which of the following integrals is equal to ( 3x – 5) dx if u=3x – 7? (A (u) du / (u+2) du B © :/ (...

A: We know by properties of definite integrals, if a-b=(p-q)/m then, ∫baf(x)dx= 1/m * ∫qpf(x)dx  

Q: Use linear approximation, i.e. the tangent line, to approximate V27.3 as follows: Let f(x) = Vx. The...

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Q: It takes 1900 J of work to stretch a spring from its natural length of 1 m to a length of 4 m. Find ...

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Q: 10 -dr may be written as Aln secB +tanB*+C where A, B, and C are constants not equal to zero. Evalua...

A: Please see the below picture for detailed solution. 

Q: What is the integrable form of sin-cos-sino do? 2 2 (A) Vu?-1 du 1- u² du -2/ sinu du D cosu du

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Q: If the brakes on a car can give the car a constant negative acceleration of 2k m/s2 , where k is a p...

A: Here is the solution

Q: TT(e-1) В. 2.

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Q: Find the area of the region bounded by the curve ,2=4x and the lines x = 1 and x = 4. 63/2 square un...

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Q: Ge Given revenue and cost functions R(q) = 70q - 0.4q and C(g) = 14q + 550, find the maximum revenue...

A: Given problem:- Given revenue and cost functions R(q) = 70q -0.4q² and C(q)= 14q+550, find the maxim...

Q: 2. Use the Integral Test to determine if the series Σ (n+2)¾ 1 n=1 converges or diverges.

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Q: Sketch the graph of f(x) x and the graph of the function g. y y 10- 10 -10 -5 10 -10 -5 10 f-5 -10 1...

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Q: Express the limit as an integral. (7(x;)? - 2(x;)³Ax over [0, 4] lim i = 1 dx

A: This question can be solved using the limit definition of integration.

Q: If  f(x) = x3 + 1,  then give the following. (a) the value of f at  x = −1  is  f         =  (b) t...

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Q: Find an equation of the tangent line to the curve at the given point. 3. Y sin xt cos P (0, 3)

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Q: D. Determine how long the ball is in the air.

A: To find S(t) = 0 We solve the equation,using Quadratic equation of form ax2 +bx+c = 0.

Q: Use logarithmic differentiation to find the derivative of the function. V9 + 7x² y = 3 x2 + 1

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

Q: 5/ 2 Vx 4. f (x) 4-3x ||

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Q: Solve the differential equation by using integrating factors. xy' = 3y + x2

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