Find the gradient and the intercept of the line whose equation is 2x-y+5=0.

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Q: 5 √² Using the method of u-substitution, (4x-7)² dz- f(u) du where u = du a = b = f(u) == The value…

A: Given:I=∫25​(4x−7)2dxLet u=4x-7Therefore,dxd​(u)=dxd​(4x−7)dxd​(u)=4dx=4du​Also,u=4x-7, when x=2,…

Q: 3. Discuss the pros and cons of using tangent line approximations in the two situations you explored…

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Q: Can you please solve this integral with a step by step explanation?

A: Step 1: Step 2: Step 3: Step 4:

Q: 4.6

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Q: a) A conical water tank (with the tip facing upwards) with a radius of 1 meter and height of 3…

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Q: Help me please

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Q: Find a function such that ∂f/ ∂x = 2xy and ∂f/∂y = x 2

A: Taking   f(x,y)=x2y Now lets find δxδf​     and     δyδf​  . So δxδf​=(2x)y    ie  δxδf​=2xy…

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A: Step 1: Step 2: Step 3: Step 4:

Q: Use LaGrange multipliers to minimize the square of the distance (x-4)^2 + (y-4)^2 subject to the…

A: The objective of this question is to find the minimum value of the function f(x, y) = (x-4)^2 +…

Q: I need help finding theta.

A: Step 1: Step 2: Step 3: Step 4:

Q: Express the equation in logarithmic form. 34 = 81 = log )

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Q: find the equation of the plane through the three points given P=(4,0,0), Q=(6,-1,1), R=(7,4,-1) has…

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Q: Use Wallis's Formulas to evaluate the integral. π/2 cos(x) dx 0

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Q: Determine whether the series is convergent or divergent by expressing the nth partial sum s,, as a…

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Q: 6. Evaluate the given definite integral using the fundamental theorem of calculus. 1 (a). Sex (4…

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Q: Find the area of the region. two petals of r = sin(60)

A: Therefore, the area ( A ) of the region bounded by the curve (r=sin(6θ)) can be calculated as…

Q: Find the area of the region. interior of r = 7 + 4 sin(0) (below the polar axis)

A: Step 1Step 2 Step 3 Step 4

Q: Test the series below for convergence using the Ratio Test. n= (-1) "42n+1 (2n+1)! The limit of the…

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Q: 1- Convert the following from rectangular form to a polar form 6+j8 • 7+j6 • 4+j2 2- Convert the…

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Q: 4. Find the volume of the given solid bounded by the cylinder x² + y² = 16 and the planes y 4z, x =…

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Q: Find the outward flux for the field F(x,y) = 〈x,y2〉over the rectangle bounded by the curve C shown…

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Q: 4xy+z = 3 Find the equation of the plane which passes through O and is parallel to x+ - y + z = A

A: For any query with the solution, please ask in the comment box.

Q: Find the area of the region bounded by the graph of f(x) = x², the x-axis, and the vertical lines x…

A: Step 1:​Region is bounded by the graph of f(x)=x2, the x-axis, and the vertical lines x=0 and x=2,…

Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F =…

A: The objective of this question is to use Green's Theorem to find the counterclockwise circulation…

Q: A spherical balloon is inflating with helium at a rate of 400л increasing at the instant the radius…

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Q: Use the properties of exponents to simplify the expression. Assume that all variables are nonzero.…

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Q: For each of the following pairs of vectors x and y, find the vector projection p of x onto y. (a) x…

A: To find the vector projection of vector x onto vector y, we'll use the formula:projy​(x)=(x⋅y) /…

Q: Use a graphing utility to graph the polar equation inner loop of r = 5 + 10 cos(8) Find the area of…

A: Step 1: r=0  Step 2: Q value calculation  Step 3: puto into formula for area calculation  Step 4:…

Q: 4. Find the volume of the given solid bounded by the cylinder x² + y² = 16 and the planes y 4z, x =…

A: Step 1: Step 2:

Q: Find the intervals where f(x) = x²e¯x is increasing and where it is decreasing. (Select all that…

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Q: Compute the line integral of the scalar function f(x, y, z) = 2x² + 8z over the curve c(t) = (et,…

A: You may refer to the step by step guide from below:…

Q: Please see image

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Q: Find the smallest number n of terms needed to obtain an approximation of the series 8 accurate to…

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Q: 5. Textbook Section 3.3 Problem #44 •Rewrite each of the following expressions Answer Choices: as a…

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Q: Solve the differential equation xy2y' = x + 1.

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Q: Q2 please

A: I can solve the math problems in the image, but I can help you understand them. The image contains a…

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Q: 1. If we use u² for the argument of the Fresnel Integrals, we can construct the normalized Fresnel…

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Q: If C is given by (t) = (cost, sint, t), 0<t<T, then Lyds is 02√2 O√2 O None of the above

A: If you have any problem let me know here in comment box for this thankyou.

Q: 18. MNPQ is a parallelogram and R is the intersection point of the diagonals MP and NQ. Let u = MQ…

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Q: Evaluate the improper integral from the image and possibly prove that it diverges.

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Q: Use a graphing utility to graph the polar equation. between the loops of r = 2 + 4 cos(0) Find the…

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Q: "Time is fluid" 50 X 55 XI 60 45 5 10 15 M 30

A: The amount of time that something happens or stays the same in a non-spatial continuity that is…