Q1) Find the following integrals } 1) S sinh2x sinhx+1 dx 1

Q: 29. Verify that the piecewise-defined function 1-x², x<0 x ≥ 0 is a solution of the differential…

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Q: It is estimated that the rate of change of the population of a certain town will be P' (t) = 4+…

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Q: The Kirk Kelly Kandy Company makes two kinds of candy, Kisses and Kreams. The profit, in dollars,…

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Q: The height y (in feet) of a ball thrown by a ch 1 -x² + 6x + 5 - y = 14 where is the horizontal…

A: The height of the ball is given by  y=-114x2+6x+5 in feet where x is horizontal distance from child.…

Q: Let D be the region enclosed by y = sin(x), y = cos(x), x = 0 and x = . revolving D about the x-axis…

A: Given problem:- Let D be the region enclosed by y = sin(x), y = cos(x), x = 0 and x = π/6 The volume…

Q: Evaluate the integrals. -32 a. S x-6/5 dx 1 -π/³1 - cos 2x b. 2 -TT/3 -dx

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Q: 1. Consider the curve y = f(x) = 2* - 1. A. Find the exact area of the region in the first quadrant…

A: Disclaimer: ''Since you have posted a question with multiple subparts, we will solve the first three…

Q: Question. R is the region bounded by the functions f(x) = 3e¹ - 1 and g(x) = x² - 6. Find the area…

A: R is the region bounded by the functions fx=3ex-1 and gx=x2-6. To find the area of the region…

Q: Find the value of k for which the constant function r(t) = k is a solution of the differential…

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Q: Find the ordinary interest on a loan of $850 at 11% annually made on February 10 and due May 31

A: Given, P= $850 I=11% T=(May 31) -(Feb 10) =110 days,

Q: R is the region bounded by the functions f(x) = 2e - 1 and g(x)=x²-2. Find the area of the region…

A: R be the region bounded by the curves f(x)=2ex-1 and g(x)=x2-2 on the interval -1,1

Q: 5. Find the half range cosine Fourier Series for the function.. X OCX < Z ..£.(x)..= TT-X <x<T -ans:…

A: Given

Q: sider the function p 3 of 3: Find lim f(x). x--6 f(x) = = lim f(x) x--6 Sx² + 12x + 22 19x + 100 if…

A: Topic:- limit and continuity

Q: Consider the function f(x) = (x² - 1)³ on the interval [-7, 4]. Find the absolute extrema for the…

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Q: Suppose the weight (in pounds) of a baby boy x months old, for his first 10 months can be…

A: Given function, f(x)=1.6x+8.3 Where x is in months.

Q: Find the vector, parametric, and symmetric equa lines: (a) the line perpendicular to x+7_y-4 with 3…

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Q: dx 5. ≈ 16 x J dx – x2

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: Let g(x)= log4 (13-5x). State the domain of g using set or interval notation. . State the range of g…

A: g(x)=log413-5x Given function g is unbounded when 13-5x=0⇒x=135 The equation of the vertical…

Q: The Taylor series for f(x) = e at a = 3 is cn (x - 3)". n=0 Find the first few coefficients. Co= C1…

A: Given problem:-

Q: Homework Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule.…

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Q: Let S (x,y) = 3e³x² +2e³x+5y + 4e'y?. Find fy A 3e'x4 + 10e³x + 5y + 28e¹y6 12e x³ + 6e³x+5y + 4e¹y7…

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Q: Find the scalar equation for each line: (a) a line through the point (-6, 7) with direction vector…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: In economics, the most economical quantity Q of goods (TVs, dresses, gallons of paint, etc.) for a…

A: Given Q=f(K,M,h)=2KM/hTo find f(240,750,1)=?

Q: Determine the average rate of change of the function on the given interval.  f(x)= 3x2-4 on [1,2]

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Q: Suppose f is a function for which [ f(x) dx = -3 and 1f²fcx -1 [²3/0 3f (x) dx Hide answer choices A…

A: We have, ∫-11fxdx = -3∫15fxdx = 5 To evaluate: The value of ∫-153fxdx.

Q: Consider the following integral. dx Given the substitution u = x4 - 4, find du. du = ])dx dx Rewrite…

A: The given integral is: I=∫x3x4-4dx   ...1   As we know that; ∫1ax+bdx=1alnax+b+C And…

Q: B. y = Inx and x - y - 4 = 0.

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Q: Find

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Q: A baseball team plays in a stadium that holds 54000 spectators. With the ticket price at $11 the…

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Q: Let y = tan(5x + 2). Find the differential dy when x = 2 and dx = 0.3 Find the differential dy when…

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Q: find ℒ{f(t)}. (Write your answer as a function of s.) f(t) = (t + 1)3 ℒ{f(t)} =

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Q: At 12:00 noon, there were 200 bacteria present. By 4:00 pm, there were 379 bacteria. If the bacteria…

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Q: E) Evaluate the triple integral on the left in each of the following: (a) ff₁dz dx dy = 1 "dz dy dx…

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Q: 1 St √√x" dx 4 1 S²₁ (x) ³² (X) 5 JX

A: Given query is to find the value of the integral.

Q: es { [ (x² + 5) } 1_7²_

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Q: 1. (4D-23D³-33D²-17D- 2. 2. d^x dx +39³ x db db³ db² -27d²x 62

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Q: Use linear approximation, i.e. the tangent line, to 1 1 approximate as follows: Let f(x) = and find…

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Q: Q2: The equation of the tangent line to the graph of y=t² and t = 4x² at t = 1 is (not that x is…

A: This question can be solved using the concept of equation of tangent to a curve at a given point.

Q: 8 3) If f(x)= 2 (x-1)*, then f (2) (1) = Σ k=0 a) b) 2 c) 4 d1

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Q: Problem Let y = f(x) denote the function defined as x² + x - 2, if x 2. -

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Q: 3. Evaluate 5 sin rdr

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Q: Numerical Integration: 1 So Fede dx 1. 0 2. 2 (2x² – 3x) dx -

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Q: 9/Find Parametric equations for the Line that is tangent to the curve r(t) = eti + (Sint); + In…

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Q: Q2: The equation of the tangent line to the graph of y=r2 and t=4x² at t=1 is (not that x is…

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Q: provide a step by step solution to the following DE (2x+3)y' = y + (2x+3)1/2 when x=-1 and y=0

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Q: Find the tangent line(s) to the parametric curve given by a = t¹ - 9t² and y=t² at (0, 9).

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Q: Consider the following function: f(x) = - -x4 + 2x³ +6 Step 2 of 4: Determine where the function is…

A: Here is the solution:

Q: The number of tree species S in a given area A in a forest reserve has been modeled by the power…

A: Given, S(A)= 0.882(A)0.842 Differentiation w.r.t A we have, S'(A)= 0.882(A)0.842

Q: Using 1/3 or 3/8 simpson rule, find the area or volume bounded by the given curves,axes and/or…

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Q: Solve 7 cos(5x) = 2 for the smallest positive solution. Give your answer accurate to at least two…

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