3x+5 Find S dx (Using substitution method). √3x-7

Q: f(x+h)-f(x) h Use f'(x) = lim h-0 s(x) = 6x+7 to find the derivative at x for the given function.

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Q: (3²+ 3a)dA, where D is the region in the 3rd quadrant between the circles 2² + y² = 1 and x² + y² =…

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Q: A cardiac monitor is used to measure the heart rate of a patient after surgery. It compiles the…

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Q: 20 Let f(x)= . Using the definition of derivative at a point, f'(9) = x the expression needed to…

A: Given :f(x)=20xf'9=limx→9f(x)-f(9)x-9

Q: 13

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Q: #+2 Q.23) cos²3x dx = 24 a)- #+24 KT -24

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Q: 5. 1 Z+₁ 3z 2 dz

A: Topic = Integration As per guidelines , At a time only one question can be answered. please repost…

Q: 9. If the slope of the line determined by the points (x,5) and (1,8) is -3, find x.

A: Given that the slope of the line determined by the points (×,5) and (1,8) is -3. We have to find the…

Q: Certain pieces of antique furniture increased very rapidly in price in the 1970s and 1980s. For…

A: Find the rate, in dollars per year, at which the price is increasing.

Q: Evaluate the integral. "π/4 J.T tan (0) sec²(0) de

A: This question can be solved using integration by substitution.

Q: Find the volume of the parallelepiped whose edges a A =î - 13ĵ+ 4k, B = 31+ 2j-7k and Ċ = î -

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Q: Problem 6. non-increasing on [0, 2π]. (1) Prove that (2) Prove that integrals.] Let f be a…

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Q: Define R as the region that is bounded by the graph of the function f(x) = +1, the x-axis, x = 0,…

A: The region R bounded by the function fx=x36+1, the x-axis, x=0 and x=2.R is rotated about x-axis

Q: Q5] Find Maclaurin's series f(x) = ev²x.

A: Follow the procedure given below.

Q: (D³ - 2D³ – 2D² – 3D − 2) y = 0 - - -

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Q: (c) Given the following second-order differential equation 2d²y -+7y-3x² =5 dx² Find the general…

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Q: Q.1) sin³3x dx = #+2 #+24 c) Q.2) If a-1,a+3,a + 12 are consecutive terms in geometric series, then…

A: Note :As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 10. If M is a point that is 1/3 of the distance from point A to point B, then M divides the line…

A: Let distance between A and B is x.

Q: If f(x) = x³ +1.5x² - 90x + 16, find analytically all values of a for which f'(x) = 0. (Enter your…

A: This question can be solved using the concept of differentiation.

Q: When fully multiplied out, what is the 8th term of (x-3y)¹2?

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Q: Solve the given differential equation by finding, as in Example 4 from Section 2.4, an appropriate…

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Q: 300 150 Find lim f(t) and t-4- lim f(t) = t-4- lim f(t) = t-4+ 4 lim f(t). t-4+ mg mg 8 12 16 t

A: Follow next step

Q: Differential Equation d²y dx² 1) d³ y dy dx3 dx 2) (D³ + 3D² 4D - 12) y 3) 2D4 +11D³ + 18D² + 4D 8 =…

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Q: Convert the angle 270° to radians. Give the exact value and use pi for .

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Q: Given F(x) below, find F'(x). et -1₁° 0 F(x) = (1³ + 7) dt

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Q: dy 1+x²)²e³ = -2x dx

A: Topic:- differential equations

Q: Q.18) A series (1), is: 2k+1 a) diverge by alterating series test canyerge by comparison test b)…

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Q: 1. Find the rate of y with respect to x at the point (1,8) if 7y² - xy³ = 4. dy dx

A: Given: 7y2-xy3=4 and Px,y=1,8   As we know that; The Power Law: ddxxn=nxn-1 The Product rule:…

Q: Evaluate the determinant of the given matrix by reducing the matrix to row-echelon form. 4 -4 16 A =…

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Q: 70- 60- 50 40 30 20 10- -10 10 20 30 40 10. Lamont is a lifeguard and spots a drowning child 40…

A: Given ,  Lamont is a lifeguard and spots a drowning child 40 m along the shore and 70 m from the…

Q: Find Maclaurin's series f(x) = √2x

A: We have to find the Maclaurin's series for f(x)=e2x

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim X-6 - (8 - 1—² x )…

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Q: Q.8) A series Ek-13k+5 100 is : a) Converge by comparison test Converge by alternating test b)…

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Q: (10. a = [-1, 5,2], b = [3, 2,-6], and c = [1, -4,-2]. Calculate the following: a) axb b) a b × c c)…

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Q: əz дz Find and ax if z is defined implicitly as a function of x and y by the equation ay + +z6+…

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Q: Find dy ax 9=бл+бай

A: Given :y=x+1+xformula : ddxx=12x

Q: 3. Evaluate 622 dV where G is bounded by r+ 2y + 4z = 8 in the first octant.

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x² - 6x + 4 lim X→ 2 X-2

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Q: + 75 3-4x Evaluate lim x-4 1 -4x-6 + Enter an exact answer. Provide your answer below: 13

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Q: Determine if the function f(x) is continuous and/or differentiable at x = 5? x+5 for 5≤x≤5 f(x)= 2x…

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Q: Given f(x) = 3√x, find f'(x) using the limit definition of the derivative, f(x +h)-f(x) f'(x) = lim…

A: Given the expression for the derivative of the function is: f'x=limh→0fx+h-fxh And fx=3x

Q: 2. Evaluate the double integrals by iteration. whre B is the region 0≤x≤ 1, ² ≤ y ≤I VPR

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Q: Q.16) The general term of the sequence -2,2.- (11)M+ight (n+1)! .n=1,2,3,.. b) (-1) (n) .n=1,2,3,..…

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Q: A 200-g sample of a radioctive substance is placed in a chamber to be tested. After 3 h, 140 g of…

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Q: Determine the centroid of the area bounded by the curves y = 4x + 16, x= -2, x = 5 and x-axis.

A: Given curves are,

Q: 7) The solution of 5-2x = 3, is: a) In b)logs (3) d) logs (3)

A: As you mentioned question no 7 solved

Q: PROBLEM NO. 8 GIVEN: f(x)=2x52x² +10x + 2 = 0 Using NEWTON'S METHOD, determine new estimate after…

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Q: 17R(1,1,3), S(3,-3,6) and U(-2,4,7) are three vertices of parallelogram RSTU. a) Find the…

A: Given that the three vertices of a parallelogram RSTU are R1,1,3, S3,-3,6 and U-2,4,7 Now, let the…

Q: V.P. [ -8 COS X (a²-x²) -dx, (a> 0).

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Q: What is the area bounded by the curves y=x2+5 and y=−x2, the line x=3, and the y axis.

A: Topic:- application of integration